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Simplifying 3(a + 5) = a + 2 Reorder the terms: 3(5 + a) = a + 2 (5 * 3 + a * 3) = a + 2 (15 + 3a) = a + 2 Reorder the terms: 15 + 3a = 2 + a Solving 15 + 3a = 2 + a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. 15 + 3a + -1a = 2 + a + -1a Combine like terms: 3a + -1a = 2a 15 + 2a = 2 + a + -1a Combine like terms: a + -1a = 0 15 + 2a = 2 + 0 15 + 2a = 2 Add '-15' to each side of the equation. 15 + -15 + 2a = 2 + -15 Combine like terms: 15 + -15 = 0 0 + 2a = 2 + -15 2a = 2 + -15 Combine like terms: 2 + -15 = -13 2a = -13 Divide each side by '2'. a = -6.5 Simplifying a = -6.5
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