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