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Simplifying 2(a + -1) = -5 + (3a + -9) Reorder the terms: 2(-1 + a) = -5 + (3a + -9) (-1 * 2 + a * 2) = -5 + (3a + -9) (-2 + 2a) = -5 + (3a + -9) Reorder the terms: -2 + 2a = -5 + (-9 + 3a) Remove parenthesis around (-9 + 3a) -2 + 2a = -5 + -9 + 3a Combine like terms: -5 + -9 = -14 -2 + 2a = -14 + 3a Solving -2 + 2a = -14 + 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 = -14 + 3a + -3a Combine like terms: 2a + -3a = -1a -2 + -1a = -14 + 3a + -3a Combine like terms: 3a + -3a = 0 -2 + -1a = -14 + 0 -2 + -1a = -14 Add '2' to each side of the equation. -2 + 2 + -1a = -14 + 2 Combine like terms: -2 + 2 = 0 0 + -1a = -14 + 2 -1a = -14 + 2 Combine like terms: -14 + 2 = -12 -1a = -12 Divide each side by '-1'. a = 12 Simplifying a = 12
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