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Simplifying -3(a + -4) = 2(a + 1) Reorder the terms: -3(-4 + a) = 2(a + 1) (-4 * -3 + a * -3) = 2(a + 1) (12 + -3a) = 2(a + 1) Reorder the terms: 12 + -3a = 2(1 + a) 12 + -3a = (1 * 2 + a * 2) 12 + -3a = (2 + 2a) Solving 12 + -3a = 2 + 2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. 12 + -3a + -2a = 2 + 2a + -2a Combine like terms: -3a + -2a = -5a 12 + -5a = 2 + 2a + -2a Combine like terms: 2a + -2a = 0 12 + -5a = 2 + 0 12 + -5a = 2 Add '-12' to each side of the equation. 12 + -12 + -5a = 2 + -12 Combine like terms: 12 + -12 = 0 0 + -5a = 2 + -12 -5a = 2 + -12 Combine like terms: 2 + -12 = -10 -5a = -10 Divide each side by '-5'. a = 2 Simplifying a = 2
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