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Simplifying 2(1 + -1a) = -1(a + 7) (1 * 2 + -1a * 2) = -1(a + 7) (2 + -2a) = -1(a + 7) Reorder the terms: 2 + -2a = -1(7 + a) 2 + -2a = (7 * -1 + a * -1) 2 + -2a = (-7 + -1a) Solving 2 + -2a = -7 + -1a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'a' to each side of the equation. 2 + -2a + a = -7 + -1a + a Combine like terms: -2a + a = -1a 2 + -1a = -7 + -1a + a Combine like terms: -1a + a = 0 2 + -1a = -7 + 0 2 + -1a = -7 Add '-2' to each side of the equation. 2 + -2 + -1a = -7 + -2 Combine like terms: 2 + -2 = 0 0 + -1a = -7 + -2 -1a = -7 + -2 Combine like terms: -7 + -2 = -9 -1a = -9 Divide each side by '-1'. a = 9 Simplifying a = 9
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