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Simplifying -1(1 + -8a) = -31 + -7a (1 * -1 + -8a * -1) = -31 + -7a (-1 + 8a) = -31 + -7a Solving -1 + 8a = -31 + -7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '7a' to each side of the equation. -1 + 8a + 7a = -31 + -7a + 7a Combine like terms: 8a + 7a = 15a -1 + 15a = -31 + -7a + 7a Combine like terms: -7a + 7a = 0 -1 + 15a = -31 + 0 -1 + 15a = -31 Add '1' to each side of the equation. -1 + 1 + 15a = -31 + 1 Combine like terms: -1 + 1 = 0 0 + 15a = -31 + 1 15a = -31 + 1 Combine like terms: -31 + 1 = -30 15a = -30 Divide each side by '15'. a = -2 Simplifying a = -2
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