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Simplifying 3w + 5 = 2(w + -1) Reorder the terms: 5 + 3w = 2(w + -1) Reorder the terms: 5 + 3w = 2(-1 + w) 5 + 3w = (-1 * 2 + w * 2) 5 + 3w = (-2 + 2w) Solving 5 + 3w = -2 + 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. 5 + 3w + -2w = -2 + 2w + -2w Combine like terms: 3w + -2w = 1w 5 + 1w = -2 + 2w + -2w Combine like terms: 2w + -2w = 0 5 + 1w = -2 + 0 5 + 1w = -2 Add '-5' to each side of the equation. 5 + -5 + 1w = -2 + -5 Combine like terms: 5 + -5 = 0 0 + 1w = -2 + -5 1w = -2 + -5 Combine like terms: -2 + -5 = -7 1w = -7 Divide each side by '1'. w = -7 Simplifying w = -7
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