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Simplifying 4(a + 3) = 5(2 + a) Reorder the terms: 4(3 + a) = 5(2 + a) (3 * 4 + a * 4) = 5(2 + a) (12 + 4a) = 5(2 + a) 12 + 4a = (2 * 5 + a * 5) 12 + 4a = (10 + 5a) Solving 12 + 4a = 10 + 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. 12 + 4a + -5a = 10 + 5a + -5a Combine like terms: 4a + -5a = -1a 12 + -1a = 10 + 5a + -5a Combine like terms: 5a + -5a = 0 12 + -1a = 10 + 0 12 + -1a = 10 Add '-12' to each side of the equation. 12 + -12 + -1a = 10 + -12 Combine like terms: 12 + -12 = 0 0 + -1a = 10 + -12 -1a = 10 + -12 Combine like terms: 10 + -12 = -2 -1a = -2 Divide each side by '-1'. a = 2 Simplifying a = 2
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