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Simplifying -3w + 25 = 2(w + -1) + -3 Reorder the terms: 25 + -3w = 2(w + -1) + -3 Reorder the terms: 25 + -3w = 2(-1 + w) + -3 25 + -3w = (-1 * 2 + w * 2) + -3 25 + -3w = (-2 + 2w) + -3 Reorder the terms: 25 + -3w = -2 + -3 + 2w Combine like terms: -2 + -3 = -5 25 + -3w = -5 + 2w Solving 25 + -3w = -5 + 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. 25 + -3w + -2w = -5 + 2w + -2w Combine like terms: -3w + -2w = -5w 25 + -5w = -5 + 2w + -2w Combine like terms: 2w + -2w = 0 25 + -5w = -5 + 0 25 + -5w = -5 Add '-25' to each side of the equation. 25 + -25 + -5w = -5 + -25 Combine like terms: 25 + -25 = 0 0 + -5w = -5 + -25 -5w = -5 + -25 Combine like terms: -5 + -25 = -30 -5w = -30 Divide each side by '-5'. w = 6 Simplifying w = 6
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