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Simplifying 5(a + 3) = 3(2a + 1) Reorder the terms: 5(3 + a) = 3(2a + 1) (3 * 5 + a * 5) = 3(2a + 1) (15 + 5a) = 3(2a + 1) Reorder the terms: 15 + 5a = 3(1 + 2a) 15 + 5a = (1 * 3 + 2a * 3) 15 + 5a = (3 + 6a) Solving 15 + 5a = 3 + 6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6a' to each side of the equation. 15 + 5a + -6a = 3 + 6a + -6a Combine like terms: 5a + -6a = -1a 15 + -1a = 3 + 6a + -6a Combine like terms: 6a + -6a = 0 15 + -1a = 3 + 0 15 + -1a = 3 Add '-15' to each side of the equation. 15 + -15 + -1a = 3 + -15 Combine like terms: 15 + -15 = 0 0 + -1a = 3 + -15 -1a = 3 + -15 Combine like terms: 3 + -15 = -12 -1a = -12 Divide each side by '-1'. a = 12 Simplifying a = 12
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