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Simplifying -8(a + 3) + -7(1 + 5a) = -31 Reorder the terms: -8(3 + a) + -7(1 + 5a) = -31 (3 * -8 + a * -8) + -7(1 + 5a) = -31 (-24 + -8a) + -7(1 + 5a) = -31 -24 + -8a + (1 * -7 + 5a * -7) = -31 -24 + -8a + (-7 + -35a) = -31 Reorder the terms: -24 + -7 + -8a + -35a = -31 Combine like terms: -24 + -7 = -31 -31 + -8a + -35a = -31 Combine like terms: -8a + -35a = -43a -31 + -43a = -31 Add '31' to each side of the equation. -31 + 31 + -43a = -31 + 31 Combine like terms: -31 + 31 = 0 0 + -43a = -31 + 31 -43a = -31 + 31 Combine like terms: -31 + 31 = 0 -43a = 0 Solving -43a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Divide each side by '-43'. a = 0 Simplifying a = 0
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