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