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Simplifying 4(2a + 3) = 5(a + -6) Reorder the terms: 4(3 + 2a) = 5(a + -6) (3 * 4 + 2a * 4) = 5(a + -6) (12 + 8a) = 5(a + -6) Reorder the terms: 12 + 8a = 5(-6 + a) 12 + 8a = (-6 * 5 + a * 5) 12 + 8a = (-30 + 5a) Solving 12 + 8a = -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 + 8a + -5a = -30 + 5a + -5a Combine like terms: 8a + -5a = 3a 12 + 3a = -30 + 5a + -5a Combine like terms: 5a + -5a = 0 12 + 3a = -30 + 0 12 + 3a = -30 Add '-12' to each side of the equation. 12 + -12 + 3a = -30 + -12 Combine like terms: 12 + -12 = 0 0 + 3a = -30 + -12 3a = -30 + -12 Combine like terms: -30 + -12 = -42 3a = -42 Divide each side by '3'. a = -14 Simplifying a = -14
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