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Simplifying (a + -5) + 7 = -1(8 + 3a) Reorder the terms: (-5 + a) + 7 = -1(8 + 3a) Remove parenthesis around (-5 + a) -5 + a + 7 = -1(8 + 3a) Reorder the terms: -5 + 7 + a = -1(8 + 3a) Combine like terms: -5 + 7 = 2 2 + a = -1(8 + 3a) 2 + a = (8 * -1 + 3a * -1) 2 + a = (-8 + -3a) Solving 2 + a = -8 + -3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '3a' to each side of the equation. 2 + a + 3a = -8 + -3a + 3a Combine like terms: a + 3a = 4a 2 + 4a = -8 + -3a + 3a Combine like terms: -3a + 3a = 0 2 + 4a = -8 + 0 2 + 4a = -8 Add '-2' to each side of the equation. 2 + -2 + 4a = -8 + -2 Combine like terms: 2 + -2 = 0 0 + 4a = -8 + -2 4a = -8 + -2 Combine like terms: -8 + -2 = -10 4a = -10 Divide each side by '4'. a = -2.5 Simplifying a = -2.5
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