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Simplifying 2(w + -2) + -1w = 3(w + -1) + 9 Reorder the terms: 2(-2 + w) + -1w = 3(w + -1) + 9 (-2 * 2 + w * 2) + -1w = 3(w + -1) + 9 (-4 + 2w) + -1w = 3(w + -1) + 9 Combine like terms: 2w + -1w = 1w -4 + 1w = 3(w + -1) + 9 Reorder the terms: -4 + 1w = 3(-1 + w) + 9 -4 + 1w = (-1 * 3 + w * 3) + 9 -4 + 1w = (-3 + 3w) + 9 Reorder the terms: -4 + 1w = -3 + 9 + 3w Combine like terms: -3 + 9 = 6 -4 + 1w = 6 + 3w Solving -4 + 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. -4 + 1w + -3w = 6 + 3w + -3w Combine like terms: 1w + -3w = -2w -4 + -2w = 6 + 3w + -3w Combine like terms: 3w + -3w = 0 -4 + -2w = 6 + 0 -4 + -2w = 6 Add '4' to each side of the equation. -4 + 4 + -2w = 6 + 4 Combine like terms: -4 + 4 = 0 0 + -2w = 6 + 4 -2w = 6 + 4 Combine like terms: 6 + 4 = 10 -2w = 10 Divide each side by '-2'. w = -5 Simplifying w = -5
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