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Simplifying 4a + 10(3 + 5a) = -3(8 + -12a) 4a + (3 * 10 + 5a * 10) = -3(8 + -12a) 4a + (30 + 50a) = -3(8 + -12a) Reorder the terms: 30 + 4a + 50a = -3(8 + -12a) Combine like terms: 4a + 50a = 54a 30 + 54a = -3(8 + -12a) 30 + 54a = (8 * -3 + -12a * -3) 30 + 54a = (-24 + 36a) Solving 30 + 54a = -24 + 36a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-36a' to each side of the equation. 30 + 54a + -36a = -24 + 36a + -36a Combine like terms: 54a + -36a = 18a 30 + 18a = -24 + 36a + -36a Combine like terms: 36a + -36a = 0 30 + 18a = -24 + 0 30 + 18a = -24 Add '-30' to each side of the equation. 30 + -30 + 18a = -24 + -30 Combine like terms: 30 + -30 = 0 0 + 18a = -24 + -30 18a = -24 + -30 Combine like terms: -24 + -30 = -54 18a = -54 Divide each side by '18'. a = -3 Simplifying a = -3
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