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Simplifying 3(a + 4) = 2(5 + -1a) Reorder the terms: 3(4 + a) = 2(5 + -1a) (4 * 3 + a * 3) = 2(5 + -1a) (12 + 3a) = 2(5 + -1a) 12 + 3a = (5 * 2 + -1a * 2) 12 + 3a = (10 + -2a) Solving 12 + 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. 12 + 3a + 2a = 10 + -2a + 2a Combine like terms: 3a + 2a = 5a 12 + 5a = 10 + -2a + 2a Combine like terms: -2a + 2a = 0 12 + 5a = 10 + 0 12 + 5a = 10 Add '-12' to each side of the equation. 12 + -12 + 5a = 10 + -12 Combine like terms: 12 + -12 = 0 0 + 5a = 10 + -12 5a = 10 + -12 Combine like terms: 10 + -12 = -2 5a = -2 Divide each side by '5'. a = -0.4 Simplifying a = -0.4
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