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