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Simplifying 4(a + 2) = 5(3 + a) Reorder the terms: 4(2 + a) = 5(3 + a) (2 * 4 + a * 4) = 5(3 + a) (8 + 4a) = 5(3 + a) 8 + 4a = (3 * 5 + a * 5) 8 + 4a = (15 + 5a) Solving 8 + 4a = 15 + 5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5a' to each side of the equation. 8 + 4a + -5a = 15 + 5a + -5a Combine like terms: 4a + -5a = -1a 8 + -1a = 15 + 5a + -5a Combine like terms: 5a + -5a = 0 8 + -1a = 15 + 0 8 + -1a = 15 Add '-8' to each side of the equation. 8 + -8 + -1a = 15 + -8 Combine like terms: 8 + -8 = 0 0 + -1a = 15 + -8 -1a = 15 + -8 Combine like terms: 15 + -8 = 7 -1a = 7 Divide each side by '-1'. a = -7 Simplifying a = -7
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