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