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Simplifying 3(a + 5) + -2a = 2a + 18 Reorder the terms: 3(5 + a) + -2a = 2a + 18 (5 * 3 + a * 3) + -2a = 2a + 18 (15 + 3a) + -2a = 2a + 18 Combine like terms: 3a + -2a = 1a 15 + 1a = 2a + 18 Reorder the terms: 15 + 1a = 18 + 2a Solving 15 + 1a = 18 + 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. 15 + 1a + -2a = 18 + 2a + -2a Combine like terms: 1a + -2a = -1a 15 + -1a = 18 + 2a + -2a Combine like terms: 2a + -2a = 0 15 + -1a = 18 + 0 15 + -1a = 18 Add '-15' to each side of the equation. 15 + -15 + -1a = 18 + -15 Combine like terms: 15 + -15 = 0 0 + -1a = 18 + -15 -1a = 18 + -15 Combine like terms: 18 + -15 = 3 -1a = 3 Divide each side by '-1'. a = -3 Simplifying a = -3
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