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Simplifying 7w + 3 + -2(-5w + -1) = 5(w + -2) Reorder the terms: 7w + 3 + -2(-1 + -5w) = 5(w + -2) 7w + 3 + (-1 * -2 + -5w * -2) = 5(w + -2) 7w + 3 + (2 + 10w) = 5(w + -2) Reorder the terms: 3 + 2 + 7w + 10w = 5(w + -2) Combine like terms: 3 + 2 = 5 5 + 7w + 10w = 5(w + -2) Combine like terms: 7w + 10w = 17w 5 + 17w = 5(w + -2) Reorder the terms: 5 + 17w = 5(-2 + w) 5 + 17w = (-2 * 5 + w * 5) 5 + 17w = (-10 + 5w) Solving 5 + 17w = -10 + 5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5w' to each side of the equation. 5 + 17w + -5w = -10 + 5w + -5w Combine like terms: 17w + -5w = 12w 5 + 12w = -10 + 5w + -5w Combine like terms: 5w + -5w = 0 5 + 12w = -10 + 0 5 + 12w = -10 Add '-5' to each side of the equation. 5 + -5 + 12w = -10 + -5 Combine like terms: 5 + -5 = 0 0 + 12w = -10 + -5 12w = -10 + -5 Combine like terms: -10 + -5 = -15 12w = -15 Divide each side by '12'. w = -1.25 Simplifying w = -1.25
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