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Simplifying -4(-6 + 3a) = -9 + -9(a + -2) (-6 * -4 + 3a * -4) = -9 + -9(a + -2) (24 + -12a) = -9 + -9(a + -2) Reorder the terms: 24 + -12a = -9 + -9(-2 + a) 24 + -12a = -9 + (-2 * -9 + a * -9) 24 + -12a = -9 + (18 + -9a) Combine like terms: -9 + 18 = 9 24 + -12a = 9 + -9a Solving 24 + -12a = 9 + -9a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '9a' to each side of the equation. 24 + -12a + 9a = 9 + -9a + 9a Combine like terms: -12a + 9a = -3a 24 + -3a = 9 + -9a + 9a Combine like terms: -9a + 9a = 0 24 + -3a = 9 + 0 24 + -3a = 9 Add '-24' to each side of the equation. 24 + -24 + -3a = 9 + -24 Combine like terms: 24 + -24 = 0 0 + -3a = 9 + -24 -3a = 9 + -24 Combine like terms: 9 + -24 = -15 -3a = -15 Divide each side by '-3'. a = 5 Simplifying a = 5
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