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Simplifying 5(6 + 5a) = 4a + -12 (6 * 5 + 5a * 5) = 4a + -12 (30 + 25a) = 4a + -12 Reorder the terms: 30 + 25a = -12 + 4a Solving 30 + 25a = -12 + 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. 30 + 25a + -4a = -12 + 4a + -4a Combine like terms: 25a + -4a = 21a 30 + 21a = -12 + 4a + -4a Combine like terms: 4a + -4a = 0 30 + 21a = -12 + 0 30 + 21a = -12 Add '-30' to each side of the equation. 30 + -30 + 21a = -12 + -30 Combine like terms: 30 + -30 = 0 0 + 21a = -12 + -30 21a = -12 + -30 Combine like terms: -12 + -30 = -42 21a = -42 Divide each side by '21'. a = -2 Simplifying a = -2
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