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Simplifying -2(2w + -2) + 3w = 5(w + 5) Reorder the terms: -2(-2 + 2w) + 3w = 5(w + 5) (-2 * -2 + 2w * -2) + 3w = 5(w + 5) (4 + -4w) + 3w = 5(w + 5) Combine like terms: -4w + 3w = -1w 4 + -1w = 5(w + 5) Reorder the terms: 4 + -1w = 5(5 + w) 4 + -1w = (5 * 5 + w * 5) 4 + -1w = (25 + 5w) Solving 4 + -1w = 25 + 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. 4 + -1w + -5w = 25 + 5w + -5w Combine like terms: -1w + -5w = -6w 4 + -6w = 25 + 5w + -5w Combine like terms: 5w + -5w = 0 4 + -6w = 25 + 0 4 + -6w = 25 Add '-4' to each side of the equation. 4 + -4 + -6w = 25 + -4 Combine like terms: 4 + -4 = 0 0 + -6w = 25 + -4 -6w = 25 + -4 Combine like terms: 25 + -4 = 21 -6w = 21 Divide each side by '-6'. w = -3.5 Simplifying w = -3.5
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