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Simplifying 3(a + 1) = 2(a + -5) Reorder the terms: 3(1 + a) = 2(a + -5) (1 * 3 + a * 3) = 2(a + -5) (3 + 3a) = 2(a + -5) Reorder the terms: 3 + 3a = 2(-5 + a) 3 + 3a = (-5 * 2 + a * 2) 3 + 3a = (-10 + 2a) Solving 3 + 3a = -10 + 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 = -10 + 2a + -2a Combine like terms: 3a + -2a = 1a 3 + 1a = -10 + 2a + -2a Combine like terms: 2a + -2a = 0 3 + 1a = -10 + 0 3 + 1a = -10 Add '-3' to each side of the equation. 3 + -3 + 1a = -10 + -3 Combine like terms: 3 + -3 = 0 0 + 1a = -10 + -3 1a = -10 + -3 Combine like terms: -10 + -3 = -13 1a = -13 Divide each side by '1'. a = -13 Simplifying a = -13
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