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Simplifying 4(a + 3) = 5(6 + -1a) Reorder the terms: 4(3 + a) = 5(6 + -1a) (3 * 4 + a * 4) = 5(6 + -1a) (12 + 4a) = 5(6 + -1a) 12 + 4a = (6 * 5 + -1a * 5) 12 + 4a = (30 + -5a) Solving 12 + 4a = 30 + -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 = 30 + -5a + 5a Combine like terms: 4a + 5a = 9a 12 + 9a = 30 + -5a + 5a Combine like terms: -5a + 5a = 0 12 + 9a = 30 + 0 12 + 9a = 30 Add '-12' to each side of the equation. 12 + -12 + 9a = 30 + -12 Combine like terms: 12 + -12 = 0 0 + 9a = 30 + -12 9a = 30 + -12 Combine like terms: 30 + -12 = 18 9a = 18 Divide each side by '9'. a = 2 Simplifying a = 2
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