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Simplifying -7(a + -5) = -8a + 29 Reorder the terms: -7(-5 + a) = -8a + 29 (-5 * -7 + a * -7) = -8a + 29 (35 + -7a) = -8a + 29 Reorder the terms: 35 + -7a = 29 + -8a Solving 35 + -7a = 29 + -8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '8a' to each side of the equation. 35 + -7a + 8a = 29 + -8a + 8a Combine like terms: -7a + 8a = 1a 35 + 1a = 29 + -8a + 8a Combine like terms: -8a + 8a = 0 35 + 1a = 29 + 0 35 + 1a = 29 Add '-35' to each side of the equation. 35 + -35 + 1a = 29 + -35 Combine like terms: 35 + -35 = 0 0 + 1a = 29 + -35 1a = 29 + -35 Combine like terms: 29 + -35 = -6 1a = -6 Divide each side by '1'. a = -6 Simplifying a = -6
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