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Simplifying 5(w + -2) + 2(6 + -1w) = 3w + (w + -3) + 20 Reorder the terms: 5(-2 + w) + 2(6 + -1w) = 3w + (w + -3) + 20 (-2 * 5 + w * 5) + 2(6 + -1w) = 3w + (w + -3) + 20 (-10 + 5w) + 2(6 + -1w) = 3w + (w + -3) + 20 -10 + 5w + (6 * 2 + -1w * 2) = 3w + (w + -3) + 20 -10 + 5w + (12 + -2w) = 3w + (w + -3) + 20 Reorder the terms: -10 + 12 + 5w + -2w = 3w + (w + -3) + 20 Combine like terms: -10 + 12 = 2 2 + 5w + -2w = 3w + (w + -3) + 20 Combine like terms: 5w + -2w = 3w 2 + 3w = 3w + (w + -3) + 20 Reorder the terms: 2 + 3w = 3w + (-3 + w) + 20 Remove parenthesis around (-3 + w) 2 + 3w = 3w + -3 + w + 20 Reorder the terms: 2 + 3w = -3 + 20 + 3w + w Combine like terms: -3 + 20 = 17 2 + 3w = 17 + 3w + w Combine like terms: 3w + w = 4w 2 + 3w = 17 + 4w Solving 2 + 3w = 17 + 4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4w' to each side of the equation. 2 + 3w + -4w = 17 + 4w + -4w Combine like terms: 3w + -4w = -1w 2 + -1w = 17 + 4w + -4w Combine like terms: 4w + -4w = 0 2 + -1w = 17 + 0 2 + -1w = 17 Add '-2' to each side of the equation. 2 + -2 + -1w = 17 + -2 Combine like terms: 2 + -2 = 0 0 + -1w = 17 + -2 -1w = 17 + -2 Combine like terms: 17 + -2 = 15 -1w = 15 Divide each side by '-1'. w = -15 Simplifying w = -15
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