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Simplifying 4q + 2(q + -4) = -2 Reorder the terms: 4q + 2(-4 + q) = -2 4q + (-4 * 2 + q * 2) = -2 4q + (-8 + 2q) = -2 Reorder the terms: -8 + 4q + 2q = -2 Combine like terms: 4q + 2q = 6q -8 + 6q = -2 Solving -8 + 6q = -2 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 + 6q = -2 + 8 Combine like terms: -8 + 8 = 0 0 + 6q = -2 + 8 6q = -2 + 8 Combine like terms: -2 + 8 = 6 6q = 6 Divide each side by '6'. q = 1 Simplifying q = 1
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