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Simplifying 2(a + -4) = 4q + -1(2q + 4) Reorder the terms: 2(-4 + a) = 4q + -1(2q + 4) (-4 * 2 + a * 2) = 4q + -1(2q + 4) (-8 + 2a) = 4q + -1(2q + 4) Reorder the terms: -8 + 2a = 4q + -1(4 + 2q) -8 + 2a = 4q + (4 * -1 + 2q * -1) -8 + 2a = 4q + (-4 + -2q) Reorder the terms: -8 + 2a = -4 + 4q + -2q Combine like terms: 4q + -2q = 2q -8 + 2a = -4 + 2q Solving -8 + 2a = -4 + 2q Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 2a = -4 + 8 + 2q Combine like terms: -8 + 8 = 0 0 + 2a = -4 + 8 + 2q 2a = -4 + 8 + 2q Combine like terms: -4 + 8 = 4 2a = 4 + 2q Divide each side by '2'. a = 2 + q Simplifying a = 2 + q
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