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Simplifying 5w + -7 + 2(2w + 3) = -3(w + 5) Reorder the terms: 5w + -7 + 2(3 + 2w) = -3(w + 5) 5w + -7 + (3 * 2 + 2w * 2) = -3(w + 5) 5w + -7 + (6 + 4w) = -3(w + 5) Reorder the terms: -7 + 6 + 5w + 4w = -3(w + 5) Combine like terms: -7 + 6 = -1 -1 + 5w + 4w = -3(w + 5) Combine like terms: 5w + 4w = 9w -1 + 9w = -3(w + 5) Reorder the terms: -1 + 9w = -3(5 + w) -1 + 9w = (5 * -3 + w * -3) -1 + 9w = (-15 + -3w) Solving -1 + 9w = -15 + -3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '3w' to each side of the equation. -1 + 9w + 3w = -15 + -3w + 3w Combine like terms: 9w + 3w = 12w -1 + 12w = -15 + -3w + 3w Combine like terms: -3w + 3w = 0 -1 + 12w = -15 + 0 -1 + 12w = -15 Add '1' to each side of the equation. -1 + 1 + 12w = -15 + 1 Combine like terms: -1 + 1 = 0 0 + 12w = -15 + 1 12w = -15 + 1 Combine like terms: -15 + 1 = -14 12w = -14 Divide each side by '12'. w = -1.166666667 Simplifying w = -1.166666667
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