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Simplifying -8(a + -1) = 16 + -7a Reorder the terms: -8(-1 + a) = 16 + -7a (-1 * -8 + a * -8) = 16 + -7a (8 + -8a) = 16 + -7a Solving 8 + -8a = 16 + -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. 8 + -8a + 7a = 16 + -7a + 7a Combine like terms: -8a + 7a = -1a 8 + -1a = 16 + -7a + 7a Combine like terms: -7a + 7a = 0 8 + -1a = 16 + 0 8 + -1a = 16 Add '-8' to each side of the equation. 8 + -8 + -1a = 16 + -8 Combine like terms: 8 + -8 = 0 0 + -1a = 16 + -8 -1a = 16 + -8 Combine like terms: 16 + -8 = 8 -1a = 8 Divide each side by '-1'. a = -8 Simplifying a = -8
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