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Simplifying w + 5(7 + -1w) = 4 + -2(w + -3) w + (7 * 5 + -1w * 5) = 4 + -2(w + -3) w + (35 + -5w) = 4 + -2(w + -3) Reorder the terms: 35 + w + -5w = 4 + -2(w + -3) Combine like terms: w + -5w = -4w 35 + -4w = 4 + -2(w + -3) Reorder the terms: 35 + -4w = 4 + -2(-3 + w) 35 + -4w = 4 + (-3 * -2 + w * -2) 35 + -4w = 4 + (6 + -2w) Combine like terms: 4 + 6 = 10 35 + -4w = 10 + -2w Solving 35 + -4w = 10 + -2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '2w' to each side of the equation. 35 + -4w + 2w = 10 + -2w + 2w Combine like terms: -4w + 2w = -2w 35 + -2w = 10 + -2w + 2w Combine like terms: -2w + 2w = 0 35 + -2w = 10 + 0 35 + -2w = 10 Add '-35' to each side of the equation. 35 + -35 + -2w = 10 + -35 Combine like terms: 35 + -35 = 0 0 + -2w = 10 + -35 -2w = 10 + -35 Combine like terms: 10 + -35 = -25 -2w = -25 Divide each side by '-2'. w = 12.5 Simplifying w = 12.5
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