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Simplifying -1(a + -7) + 6 = 5(3 + -1a) + -8 Reorder the terms: -1(-7 + a) + 6 = 5(3 + -1a) + -8 (-7 * -1 + a * -1) + 6 = 5(3 + -1a) + -8 (7 + -1a) + 6 = 5(3 + -1a) + -8 Reorder the terms: 7 + 6 + -1a = 5(3 + -1a) + -8 Combine like terms: 7 + 6 = 13 13 + -1a = 5(3 + -1a) + -8 13 + -1a = (3 * 5 + -1a * 5) + -8 13 + -1a = (15 + -5a) + -8 Reorder the terms: 13 + -1a = 15 + -8 + -5a Combine like terms: 15 + -8 = 7 13 + -1a = 7 + -5a Solving 13 + -1a = 7 + -5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '5a' to each side of the equation. 13 + -1a + 5a = 7 + -5a + 5a Combine like terms: -1a + 5a = 4a 13 + 4a = 7 + -5a + 5a Combine like terms: -5a + 5a = 0 13 + 4a = 7 + 0 13 + 4a = 7 Add '-13' to each side of the equation. 13 + -13 + 4a = 7 + -13 Combine like terms: 13 + -13 = 0 0 + 4a = 7 + -13 4a = 7 + -13 Combine like terms: 7 + -13 = -6 4a = -6 Divide each side by '4'. a = -1.5 Simplifying a = -1.5
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