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Question

7(12a+10)+a=13
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84a–70+a=13
Add -7 to both sides
Subtract -7 from both sides
Multiply both sides by -7
Divide both sides by -7
Apply the distributive property
–70=13
Combine like terms
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83a=83
Add 70 to both sides
Subtract 70 from both sides
Multiply both sides by 70
Divide both sides by 70
Apply the distributive property
a=

Answer 1

To solve the equation step by step, starting from \(7(12a+10)+a=13\):

1. Apply the distributive property: \[ 7(12a) + 7(10) + a = 13 \ 84a + 70 + a = 13 \]

2. Combine like terms: \[ 84a + a + 70 = 13 \ 85a + 70 = 13 \]

3. Subtract 70 from both sides: \[ 85a + 70 - 70 = 13 - 70 \ 85a = -57 \]

4. Divide both sides by 85: \[ a = -\frac{57}{85} \ a = -\frac{57 \div 57}{85 \div 57} \ a = -\frac{19}{25} \]

Thus, the solution is: \[ a = -\frac{19}{25} \]