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Simplifying 10 + -9(a + -6) = -5(a + -4) Reorder the terms: 10 + -9(-6 + a) = -5(a + -4) 10 + (-6 * -9 + a * -9) = -5(a + -4) 10 + (54 + -9a) = -5(a + -4) Combine like terms: 10 + 54 = 64 64 + -9a = -5(a + -4) Reorder the terms: 64 + -9a = -5(-4 + a) 64 + -9a = (-4 * -5 + a * -5) 64 + -9a = (20 + -5a) Solving 64 + -9a = 20 + -5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '5a' to each side of the equation. 64 + -9a + 5a = 20 + -5a + 5a Combine like terms: -9a + 5a = -4a 64 + -4a = 20 + -5a + 5a Combine like terms: -5a + 5a = 0 64 + -4a = 20 + 0 64 + -4a = 20 Add '-64' to each side of the equation. 64 + -64 + -4a = 20 + -64 Combine like terms: 64 + -64 = 0 0 + -4a = 20 + -64 -4a = 20 + -64 Combine like terms: 20 + -64 = -44 -4a = -44 Divide each side by '-4'. a = 11 Simplifying a = 11
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