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Simplifying -8a + -1(8a + -4) = -2(4 + 5a) Reorder the terms: -8a + -1(-4 + 8a) = -2(4 + 5a) -8a + (-4 * -1 + 8a * -1) = -2(4 + 5a) -8a + (4 + -8a) = -2(4 + 5a) Reorder the terms: 4 + -8a + -8a = -2(4 + 5a) Combine like terms: -8a + -8a = -16a 4 + -16a = -2(4 + 5a) 4 + -16a = (4 * -2 + 5a * -2) 4 + -16a = (-8 + -10a) Solving 4 + -16a = -8 + -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. 4 + -16a + 10a = -8 + -10a + 10a Combine like terms: -16a + 10a = -6a 4 + -6a = -8 + -10a + 10a Combine like terms: -10a + 10a = 0 4 + -6a = -8 + 0 4 + -6a = -8 Add '-4' to each side of the equation. 4 + -4 + -6a = -8 + -4 Combine like terms: 4 + -4 = 0 0 + -6a = -8 + -4 -6a = -8 + -4 Combine like terms: -8 + -4 = -12 -6a = -12 Divide each side by '-6'. a = 2 Simplifying a = 2
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