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Simplifying -3 + w + 5 = 4(w + -1) + w Reorder the terms: -3 + 5 + w = 4(w + -1) + w Combine like terms: -3 + 5 = 2 2 + w = 4(w + -1) + w Reorder the terms: 2 + w = 4(-1 + w) + w 2 + w = (-1 * 4 + w * 4) + w 2 + w = (-4 + 4w) + w Combine like terms: 4w + w = 5w 2 + w = -4 + 5w Solving 2 + w = -4 + 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. 2 + w + -5w = -4 + 5w + -5w Combine like terms: w + -5w = -4w 2 + -4w = -4 + 5w + -5w Combine like terms: 5w + -5w = 0 2 + -4w = -4 + 0 2 + -4w = -4 Add '-2' to each side of the equation. 2 + -2 + -4w = -4 + -2 Combine like terms: 2 + -2 = 0 0 + -4w = -4 + -2 -4w = -4 + -2 Combine like terms: -4 + -2 = -6 -4w = -6 Divide each side by '-4'. w = 1.5 Simplifying w = 1.5
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