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Simplifying 5(a + 3) = 4(a + 4) Reorder the terms: 5(3 + a) = 4(a + 4) (3 * 5 + a * 5) = 4(a + 4) (15 + 5a) = 4(a + 4) Reorder the terms: 15 + 5a = 4(4 + a) 15 + 5a = (4 * 4 + a * 4) 15 + 5a = (16 + 4a) Solving 15 + 5a = 16 + 4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. 15 + 5a + -4a = 16 + 4a + -4a Combine like terms: 5a + -4a = 1a 15 + 1a = 16 + 4a + -4a Combine like terms: 4a + -4a = 0 15 + 1a = 16 + 0 15 + 1a = 16 Add '-15' to each side of the equation. 15 + -15 + 1a = 16 + -15 Combine like terms: 15 + -15 = 0 0 + 1a = 16 + -15 1a = 16 + -15 Combine like terms: 16 + -15 = 1 1a = 1 Divide each side by '1'. a = 1 Simplifying a = 1
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