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Simplifying 1 + -2(a + 2) = 9 + a Reorder the terms: 1 + -2(2 + a) = 9 + a 1 + (2 * -2 + a * -2) = 9 + a 1 + (-4 + -2a) = 9 + a Combine like terms: 1 + -4 = -3 -3 + -2a = 9 + a Solving -3 + -2a = 9 + 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. -3 + -2a + -1a = 9 + a + -1a Combine like terms: -2a + -1a = -3a -3 + -3a = 9 + a + -1a Combine like terms: a + -1a = 0 -3 + -3a = 9 + 0 -3 + -3a = 9 Add '3' to each side of the equation. -3 + 3 + -3a = 9 + 3 Combine like terms: -3 + 3 = 0 0 + -3a = 9 + 3 -3a = 9 + 3 Combine like terms: 9 + 3 = 12 -3a = 12 Divide each side by '-3'. a = -4 Simplifying a = -4
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