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