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