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Simplifying -4 + -4(a + -5) = -2(5 + -11a) Reorder the terms: -4 + -4(-5 + a) = -2(5 + -11a) -4 + (-5 * -4 + a * -4) = -2(5 + -11a) -4 + (20 + -4a) = -2(5 + -11a) Combine like terms: -4 + 20 = 16 16 + -4a = -2(5 + -11a) 16 + -4a = (5 * -2 + -11a * -2) 16 + -4a = (-10 + 22a) Solving 16 + -4a = -10 + 22a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-22a' to each side of the equation. 16 + -4a + -22a = -10 + 22a + -22a Combine like terms: -4a + -22a = -26a 16 + -26a = -10 + 22a + -22a Combine like terms: 22a + -22a = 0 16 + -26a = -10 + 0 16 + -26a = -10 Add '-16' to each side of the equation. 16 + -16 + -26a = -10 + -16 Combine like terms: 16 + -16 = 0 0 + -26a = -10 + -16 -26a = -10 + -16 Combine like terms: -10 + -16 = -26 -26a = -26 Divide each side by '-26'. a = 1 Simplifying a = 1
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