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Simplifying 5(a + 3) = 4(2a + 3) Reorder the terms: 5(3 + a) = 4(2a + 3) (3 * 5 + a * 5) = 4(2a + 3) (15 + 5a) = 4(2a + 3) Reorder the terms: 15 + 5a = 4(3 + 2a) 15 + 5a = (3 * 4 + 2a * 4) 15 + 5a = (12 + 8a) Solving 15 + 5a = 12 + 8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8a' to each side of the equation. 15 + 5a + -8a = 12 + 8a + -8a Combine like terms: 5a + -8a = -3a 15 + -3a = 12 + 8a + -8a Combine like terms: 8a + -8a = 0 15 + -3a = 12 + 0 15 + -3a = 12 Add '-15' to each side of the equation. 15 + -15 + -3a = 12 + -15 Combine like terms: 15 + -15 = 0 0 + -3a = 12 + -15 -3a = 12 + -15 Combine like terms: 12 + -15 = -3 -3a = -3 Divide each side by '-3'. a = 1 Simplifying a = 1
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