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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: $$7(12a)+7(10)+a=1384a+70+a=13$$

2. Combine like terms: $$84a+a+70=1385a+70=13$$

3. Subtract 70 from both sides: $$85a+70-70=13-7085a=-57$$

4. Divide both sides by 85: $$a=-\frac{57}{85}a=-\frac{57÷57}{85÷57}a=-\frac{19}{25}$$

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