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Simplifying 5(6 + -4(a + -4)) = 5(4 + -6a) Reorder the terms: 5(6 + -4(-4 + a)) = 5(4 + -6a) 5(6 + (-4 * -4 + a * -4)) = 5(4 + -6a) 5(6 + (16 + -4a)) = 5(4 + -6a) Combine like terms: 6 + 16 = 22 5(22 + -4a) = 5(4 + -6a) (22 * 5 + -4a * 5) = 5(4 + -6a) (110 + -20a) = 5(4 + -6a) 110 + -20a = (4 * 5 + -6a * 5) 110 + -20a = (20 + -30a) Solving 110 + -20a = 20 + -30a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '30a' to each side of the equation. 110 + -20a + 30a = 20 + -30a + 30a Combine like terms: -20a + 30a = 10a 110 + 10a = 20 + -30a + 30a Combine like terms: -30a + 30a = 0 110 + 10a = 20 + 0 110 + 10a = 20 Add '-110' to each side of the equation. 110 + -110 + 10a = 20 + -110 Combine like terms: 110 + -110 = 0 0 + 10a = 20 + -110 10a = 20 + -110 Combine like terms: 20 + -110 = -90 10a = -90 Divide each side by '10'. a = -9 Simplifying a = -9
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