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Simplifying 4(w + 1) + w = 5(w + -1q) + 9 Reorder the terms: 4(1 + w) + w = 5(w + -1q) + 9 (1 * 4 + w * 4) + w = 5(w + -1q) + 9 (4 + 4w) + w = 5(w + -1q) + 9 Combine like terms: 4w + w = 5w 4 + 5w = 5(w + -1q) + 9 Reorder the terms: 4 + 5w = 5(-1q + w) + 9 4 + 5w = (-1q * 5 + w * 5) + 9 4 + 5w = (-5q + 5w) + 9 Reorder the terms: 4 + 5w = 9 + -5q + 5w Add '-5w' to each side of the equation. 4 + 5w + -5w = 9 + -5q + 5w + -5w Combine like terms: 5w + -5w = 0 4 + 0 = 9 + -5q + 5w + -5w 4 = 9 + -5q + 5w + -5w Combine like terms: 5w + -5w = 0 4 = 9 + -5q + 0 4 = 9 + -5q Solving 4 = 9 + -5q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '5q' to each side of the equation. 4 + 5q = 9 + -5q + 5q Combine like terms: -5q + 5q = 0 4 + 5q = 9 + 0 4 + 5q = 9 Add '-4' to each side of the equation. 4 + -4 + 5q = 9 + -4 Combine like terms: 4 + -4 = 0 0 + 5q = 9 + -4 5q = 9 + -4 Combine like terms: 9 + -4 = 5 5q = 5 Divide each side by '5'. q = 1 Simplifying q = 1
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