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Simplifying 5 + 3(a + 4) = 2(a + 1) Reorder the terms: 5 + 3(4 + a) = 2(a + 1) 5 + (4 * 3 + a * 3) = 2(a + 1) 5 + (12 + 3a) = 2(a + 1) Combine like terms: 5 + 12 = 17 17 + 3a = 2(a + 1) Reorder the terms: 17 + 3a = 2(1 + a) 17 + 3a = (1 * 2 + a * 2) 17 + 3a = (2 + 2a) Solving 17 + 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. 17 + 3a + -2a = 2 + 2a + -2a Combine like terms: 3a + -2a = 1a 17 + 1a = 2 + 2a + -2a Combine like terms: 2a + -2a = 0 17 + 1a = 2 + 0 17 + 1a = 2 Add '-17' to each side of the equation. 17 + -17 + 1a = 2 + -17 Combine like terms: 17 + -17 = 0 0 + 1a = 2 + -17 1a = 2 + -17 Combine like terms: 2 + -17 = -15 1a = -15 Divide each side by '1'. a = -15 Simplifying a = -15
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