Basic Math Examples

Solve for a 8(a-3)-(a-3)=0.7
8(a-3)-(a-3)=0.7
Step 1
Simplify 8(a-3)-(a-3).
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Step 1.1
Simplify each term.
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Step 1.1.1
Apply the distributive property.
8a+8-3-(a-3)=0.7
Step 1.1.2
Multiply 8 by -3.
8a-24-(a-3)=0.7
Step 1.1.3
Apply the distributive property.
8a-24-a--3=0.7
Step 1.1.4
Multiply -1 by -3.
8a-24-a+3=0.7
8a-24-a+3=0.7
Step 1.2
Simplify by adding terms.
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Step 1.2.1
Subtract a from 8a.
7a-24+3=0.7
Step 1.2.2
Add -24 and 3.
7a-21=0.7
7a-21=0.7
7a-21=0.7
Step 2
Move all terms not containing a to the right side of the equation.
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Step 2.1
Add 21 to both sides of the equation.
7a=0.7+21
Step 2.2
Add 0.7 and 21.
7a=21.7
7a=21.7
Step 3
Divide each term in 7a=21.7 by 7 and simplify.
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Step 3.1
Divide each term in 7a=21.7 by 7.
7a7=21.77
Step 3.2
Simplify the left side.
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Step 3.2.1
Cancel the common factor of 7.
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Step 3.2.1.1
Cancel the common factor.
7a7=21.77
Step 3.2.1.2
Divide a by 1.
a=21.77
a=21.77
a=21.77
Step 3.3
Simplify the right side.
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Step 3.3.1
Divide 21.7 by 7.
a=3.1
a=3.1
a=3.1
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