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Simplifying 2(w + -1) + -1w = 3(w + 3) + -3 Reorder the terms: 2(-1 + w) + -1w = 3(w + 3) + -3 (-1 * 2 + w * 2) + -1w = 3(w + 3) + -3 (-2 + 2w) + -1w = 3(w + 3) + -3 Combine like terms: 2w + -1w = 1w -2 + 1w = 3(w + 3) + -3 Reorder the terms: -2 + 1w = 3(3 + w) + -3 -2 + 1w = (3 * 3 + w * 3) + -3 -2 + 1w = (9 + 3w) + -3 Reorder the terms: -2 + 1w = 9 + -3 + 3w Combine like terms: 9 + -3 = 6 -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 = -2w -2 + -2w = 6 + 3w + -3w Combine like terms: 3w + -3w = 0 -2 + -2w = 6 + 0 -2 + -2w = 6 Add '2' to each side of the equation. -2 + 2 + -2w = 6 + 2 Combine like terms: -2 + 2 = 0 0 + -2w = 6 + 2 -2w = 6 + 2 Combine like terms: 6 + 2 = 8 -2w = 8 Divide each side by '-2'. w = -4 Simplifying w = -4
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