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Simplifying -2(-9 + 6a) + -1(3a + -2) = 8a + -3a (-9 * -2 + 6a * -2) + -1(3a + -2) = 8a + -3a (18 + -12a) + -1(3a + -2) = 8a + -3a Reorder the terms: 18 + -12a + -1(-2 + 3a) = 8a + -3a 18 + -12a + (-2 * -1 + 3a * -1) = 8a + -3a 18 + -12a + (2 + -3a) = 8a + -3a Reorder the terms: 18 + 2 + -12a + -3a = 8a + -3a Combine like terms: 18 + 2 = 20 20 + -12a + -3a = 8a + -3a Combine like terms: -12a + -3a = -15a 20 + -15a = 8a + -3a Combine like terms: 8a + -3a = 5a 20 + -15a = 5a Solving 20 + -15a = 5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5a' to each side of the equation. 20 + -15a + -5a = 5a + -5a Combine like terms: -15a + -5a = -20a 20 + -20a = 5a + -5a Combine like terms: 5a + -5a = 0 20 + -20a = 0 Add '-20' to each side of the equation. 20 + -20 + -20a = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -20a = 0 + -20 -20a = 0 + -20 Combine like terms: 0 + -20 = -20 -20a = -20 Divide each side by '-20'. a = 1 Simplifying a = 1
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