Basic Math Examples

Solve for z 7/11*(z-4)-27/11=-5
Step 1
Simplify .
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Step 1.1
Simplify each term.
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Step 1.1.1
Apply the distributive property.
Step 1.1.2
Combine and .
Step 1.1.3
Multiply .
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Step 1.1.3.1
Combine and .
Step 1.1.3.2
Multiply by .
Step 1.1.4
Move the negative in front of the fraction.
Step 1.2
Combine fractions.
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Step 1.2.1
Combine the numerators over the common denominator.
Step 1.2.2
Subtract from .
Step 2
Multiply both sides by .
Step 3
Simplify.
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Step 3.1
Simplify the left side.
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Step 3.1.1
Cancel the common factor of .
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Step 3.1.1.1
Cancel the common factor.
Step 3.1.1.2
Rewrite the expression.
Step 3.2
Simplify the right side.
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Step 3.2.1
Multiply by .
Step 4
Solve for .
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Step 4.1
Move all terms not containing to the right side of the equation.
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Step 4.1.1
Add to both sides of the equation.
Step 4.1.2
Add and .
Step 4.2
Divide each term in by and simplify.
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Step 4.2.1
Divide each term in by .
Step 4.2.2
Simplify the left side.
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Step 4.2.2.1
Cancel the common factor of .
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Step 4.2.2.1.1
Cancel the common factor.
Step 4.2.2.1.2
Divide by .
Step 4.2.3
Simplify the right side.
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Step 4.2.3.1
Divide by .