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Simplifying 10 + -2(a + -1) = 9 + a Reorder the terms: 10 + -2(-1 + a) = 9 + a 10 + (-1 * -2 + a * -2) = 9 + a 10 + (2 + -2a) = 9 + a Combine like terms: 10 + 2 = 12 12 + -2a = 9 + a Solving 12 + -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. 12 + -2a + -1a = 9 + a + -1a Combine like terms: -2a + -1a = -3a 12 + -3a = 9 + a + -1a Combine like terms: a + -1a = 0 12 + -3a = 9 + 0 12 + -3a = 9 Add '-12' to each side of the equation. 12 + -12 + -3a = 9 + -12 Combine like terms: 12 + -12 = 0 0 + -3a = 9 + -12 -3a = 9 + -12 Combine like terms: 9 + -12 = -3 -3a = -3 Divide each side by '-3'. a = 1 Simplifying a = 1
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