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