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Simplifying 4(a + 3) = 3(a + 5) Reorder the terms: 4(3 + a) = 3(a + 5) (3 * 4 + a * 4) = 3(a + 5) (12 + 4a) = 3(a + 5) Reorder the terms: 12 + 4a = 3(5 + a) 12 + 4a = (5 * 3 + a * 3) 12 + 4a = (15 + 3a) Solving 12 + 4a = 15 + 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. 12 + 4a + -3a = 15 + 3a + -3a Combine like terms: 4a + -3a = 1a 12 + 1a = 15 + 3a + -3a Combine like terms: 3a + -3a = 0 12 + 1a = 15 + 0 12 + 1a = 15 Add '-12' to each side of the equation. 12 + -12 + 1a = 15 + -12 Combine like terms: 12 + -12 = 0 0 + 1a = 15 + -12 1a = 15 + -12 Combine like terms: 15 + -12 = 3 1a = 3 Divide each side by '1'. a = 3 Simplifying a = 3
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