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Simplifying -4(3a + -4) = -2(1 + 5a) Reorder the terms: -4(-4 + 3a) = -2(1 + 5a) (-4 * -4 + 3a * -4) = -2(1 + 5a) (16 + -12a) = -2(1 + 5a) 16 + -12a = (1 * -2 + 5a * -2) 16 + -12a = (-2 + -10a) Solving 16 + -12a = -2 + -10a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '10a' to each side of the equation. 16 + -12a + 10a = -2 + -10a + 10a Combine like terms: -12a + 10a = -2a 16 + -2a = -2 + -10a + 10a Combine like terms: -10a + 10a = 0 16 + -2a = -2 + 0 16 + -2a = -2 Add '-16' to each side of the equation. 16 + -16 + -2a = -2 + -16 Combine like terms: 16 + -16 = 0 0 + -2a = -2 + -16 -2a = -2 + -16 Combine like terms: -2 + -16 = -18 -2a = -18 Divide each side by '-2'. a = 9 Simplifying a = 9
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