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Simplifying 5(q + -4) = -2q + -6 Reorder the terms: 5(-4 + q) = -2q + -6 (-4 * 5 + q * 5) = -2q + -6 (-20 + 5q) = -2q + -6 Reorder the terms: -20 + 5q = -6 + -2q Solving -20 + 5q = -6 + -2q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '2q' to each side of the equation. -20 + 5q + 2q = -6 + -2q + 2q Combine like terms: 5q + 2q = 7q -20 + 7q = -6 + -2q + 2q Combine like terms: -2q + 2q = 0 -20 + 7q = -6 + 0 -20 + 7q = -6 Add '20' to each side of the equation. -20 + 20 + 7q = -6 + 20 Combine like terms: -20 + 20 = 0 0 + 7q = -6 + 20 7q = -6 + 20 Combine like terms: -6 + 20 = 14 7q = 14 Divide each side by '7'. q = 2 Simplifying q = 2
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