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Simplifying 5 + -2(a + -1) + 5 = 3(a + -1) Reorder the terms: 5 + -2(-1 + a) + 5 = 3(a + -1) 5 + (-1 * -2 + a * -2) + 5 = 3(a + -1) 5 + (2 + -2a) + 5 = 3(a + -1) Reorder the terms: 5 + 2 + 5 + -2a = 3(a + -1) Combine like terms: 5 + 2 = 7 7 + 5 + -2a = 3(a + -1) Combine like terms: 7 + 5 = 12 12 + -2a = 3(a + -1) Reorder the terms: 12 + -2a = 3(-1 + a) 12 + -2a = (-1 * 3 + a * 3) 12 + -2a = (-3 + 3a) Solving 12 + -2a = -3 + 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. 12 + -2a + -3a = -3 + 3a + -3a Combine like terms: -2a + -3a = -5a 12 + -5a = -3 + 3a + -3a Combine like terms: 3a + -3a = 0 12 + -5a = -3 + 0 12 + -5a = -3 Add '-12' to each side of the equation. 12 + -12 + -5a = -3 + -12 Combine like terms: 12 + -12 = 0 0 + -5a = -3 + -12 -5a = -3 + -12 Combine like terms: -3 + -12 = -15 -5a = -15 Divide each side by '-5'. a = 3 Simplifying a = 3
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