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Simplifying 4(a + 6) = -3(1 + -4a) + -5a Reorder the terms: 4(6 + a) = -3(1 + -4a) + -5a (6 * 4 + a * 4) = -3(1 + -4a) + -5a (24 + 4a) = -3(1 + -4a) + -5a 24 + 4a = (1 * -3 + -4a * -3) + -5a 24 + 4a = (-3 + 12a) + -5a Combine like terms: 12a + -5a = 7a 24 + 4a = -3 + 7a Solving 24 + 4a = -3 + 7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7a' to each side of the equation. 24 + 4a + -7a = -3 + 7a + -7a Combine like terms: 4a + -7a = -3a 24 + -3a = -3 + 7a + -7a Combine like terms: 7a + -7a = 0 24 + -3a = -3 + 0 24 + -3a = -3 Add '-24' to each side of the equation. 24 + -24 + -3a = -3 + -24 Combine like terms: 24 + -24 = 0 0 + -3a = -3 + -24 -3a = -3 + -24 Combine like terms: -3 + -24 = -27 -3a = -27 Divide each side by '-3'. a = 9 Simplifying a = 9
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