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Simplifying 5 + 2(a + 1) = 3(a + 2) Reorder the terms: 5 + 2(1 + a) = 3(a + 2) 5 + (1 * 2 + a * 2) = 3(a + 2) 5 + (2 + 2a) = 3(a + 2) Combine like terms: 5 + 2 = 7 7 + 2a = 3(a + 2) Reorder the terms: 7 + 2a = 3(2 + a) 7 + 2a = (2 * 3 + a * 3) 7 + 2a = (6 + 3a) Solving 7 + 2a = 6 + 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. 7 + 2a + -3a = 6 + 3a + -3a Combine like terms: 2a + -3a = -1a 7 + -1a = 6 + 3a + -3a Combine like terms: 3a + -3a = 0 7 + -1a = 6 + 0 7 + -1a = 6 Add '-7' to each side of the equation. 7 + -7 + -1a = 6 + -7 Combine like terms: 7 + -7 = 0 0 + -1a = 6 + -7 -1a = 6 + -7 Combine like terms: 6 + -7 = -1 -1a = -1 Divide each side by '-1'. a = 1 Simplifying a = 1
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