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Simplifying 4(6a + 6) = -8(-5a + -9) Reorder the terms: 4(6 + 6a) = -8(-5a + -9) (6 * 4 + 6a * 4) = -8(-5a + -9) (24 + 24a) = -8(-5a + -9) Reorder the terms: 24 + 24a = -8(-9 + -5a) 24 + 24a = (-9 * -8 + -5a * -8) 24 + 24a = (72 + 40a) Solving 24 + 24a = 72 + 40a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-40a' to each side of the equation. 24 + 24a + -40a = 72 + 40a + -40a Combine like terms: 24a + -40a = -16a 24 + -16a = 72 + 40a + -40a Combine like terms: 40a + -40a = 0 24 + -16a = 72 + 0 24 + -16a = 72 Add '-24' to each side of the equation. 24 + -24 + -16a = 72 + -24 Combine like terms: 24 + -24 = 0 0 + -16a = 72 + -24 -16a = 72 + -24 Combine like terms: 72 + -24 = 48 -16a = 48 Divide each side by '-16'. a = -3 Simplifying a = -3
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