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Simplifying -7 + -1a = 5 + 2(a + 6) Reorder the terms: -7 + -1a = 5 + 2(6 + a) -7 + -1a = 5 + (6 * 2 + a * 2) -7 + -1a = 5 + (12 + 2a) Combine like terms: 5 + 12 = 17 -7 + -1a = 17 + 2a Solving -7 + -1a = 17 + 2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. -7 + -1a + -2a = 17 + 2a + -2a Combine like terms: -1a + -2a = -3a -7 + -3a = 17 + 2a + -2a Combine like terms: 2a + -2a = 0 -7 + -3a = 17 + 0 -7 + -3a = 17 Add '7' to each side of the equation. -7 + 7 + -3a = 17 + 7 Combine like terms: -7 + 7 = 0 0 + -3a = 17 + 7 -3a = 17 + 7 Combine like terms: 17 + 7 = 24 -3a = 24 Divide each side by '-3'. a = -8 Simplifying a = -8
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