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Simplifying 5(w + 7) = -5(2w + -5) + 3w Reorder the terms: 5(7 + w) = -5(2w + -5) + 3w (7 * 5 + w * 5) = -5(2w + -5) + 3w (35 + 5w) = -5(2w + -5) + 3w Reorder the terms: 35 + 5w = -5(-5 + 2w) + 3w 35 + 5w = (-5 * -5 + 2w * -5) + 3w 35 + 5w = (25 + -10w) + 3w Combine like terms: -10w + 3w = -7w 35 + 5w = 25 + -7w Solving 35 + 5w = 25 + -7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '7w' to each side of the equation. 35 + 5w + 7w = 25 + -7w + 7w Combine like terms: 5w + 7w = 12w 35 + 12w = 25 + -7w + 7w Combine like terms: -7w + 7w = 0 35 + 12w = 25 + 0 35 + 12w = 25 Add '-35' to each side of the equation. 35 + -35 + 12w = 25 + -35 Combine like terms: 35 + -35 = 0 0 + 12w = 25 + -35 12w = 25 + -35 Combine like terms: 25 + -35 = -10 12w = -10 Divide each side by '12'. w = -0.8333333333 Simplifying w = -0.8333333333
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