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Simplifying -5(w + -5) + 4 = 14 + -1(w + -1) Reorder the terms: -5(-5 + w) + 4 = 14 + -1(w + -1) (-5 * -5 + w * -5) + 4 = 14 + -1(w + -1) (25 + -5w) + 4 = 14 + -1(w + -1) Reorder the terms: 25 + 4 + -5w = 14 + -1(w + -1) Combine like terms: 25 + 4 = 29 29 + -5w = 14 + -1(w + -1) Reorder the terms: 29 + -5w = 14 + -1(-1 + w) 29 + -5w = 14 + (-1 * -1 + w * -1) 29 + -5w = 14 + (1 + -1w) Combine like terms: 14 + 1 = 15 29 + -5w = 15 + -1w Solving 29 + -5w = 15 + -1w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add 'w' to each side of the equation. 29 + -5w + w = 15 + -1w + w Combine like terms: -5w + w = -4w 29 + -4w = 15 + -1w + w Combine like terms: -1w + w = 0 29 + -4w = 15 + 0 29 + -4w = 15 Add '-29' to each side of the equation. 29 + -29 + -4w = 15 + -29 Combine like terms: 29 + -29 = 0 0 + -4w = 15 + -29 -4w = 15 + -29 Combine like terms: 15 + -29 = -14 -4w = -14 Divide each side by '-4'. w = 3.5 Simplifying w = 3.5
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