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