Basic Math Examples

Solve for k 3(4k+14)=10k-2(k-7)
Step 1
Since is on the right side of the equation, switch the sides so it is on the left side of the equation.
Step 2
Simplify .
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Step 2.1
Simplify each term.
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Step 2.1.1
Apply the distributive property.
Step 2.1.2
Multiply by .
Step 2.2
Subtract from .
Step 3
Simplify .
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Step 3.1
Apply the distributive property.
Step 3.2
Multiply.
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Step 3.2.1
Multiply by .
Step 3.2.2
Multiply by .
Step 4
Move all terms containing to the left side of the equation.
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Step 4.1
Subtract from both sides of the equation.
Step 4.2
Subtract from .
Step 5
Move all terms not containing to the right side of the equation.
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Step 5.1
Subtract from both sides of the equation.
Step 5.2
Subtract from .
Step 6
Divide each term in by and simplify.
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Step 6.1
Divide each term in by .
Step 6.2
Simplify the left side.
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Step 6.2.1
Cancel the common factor of .
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Step 6.2.1.1
Cancel the common factor.
Step 6.2.1.2
Divide by .
Step 6.3
Simplify the right side.
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Step 6.3.1
Divide by .