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Simplifying -4(q + 2) = q + 7 Reorder the terms: -4(2 + q) = q + 7 (2 * -4 + q * -4) = q + 7 (-8 + -4q) = q + 7 Reorder the terms: -8 + -4q = 7 + q Solving -8 + -4q = 7 + q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-1q' to each side of the equation. -8 + -4q + -1q = 7 + q + -1q Combine like terms: -4q + -1q = -5q -8 + -5q = 7 + q + -1q Combine like terms: q + -1q = 0 -8 + -5q = 7 + 0 -8 + -5q = 7 Add '8' to each side of the equation. -8 + 8 + -5q = 7 + 8 Combine like terms: -8 + 8 = 0 0 + -5q = 7 + 8 -5q = 7 + 8 Combine like terms: 7 + 8 = 15 -5q = 15 Divide each side by '-5'. q = -3 Simplifying q = -3
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