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Simplifying 10 + -2(6 + -1w) = 3(w + -1) 10 + (6 * -2 + -1w * -2) = 3(w + -1) 10 + (-12 + 2w) = 3(w + -1) Combine like terms: 10 + -12 = -2 -2 + 2w = 3(w + -1) Reorder the terms: -2 + 2w = 3(-1 + w) -2 + 2w = (-1 * 3 + w * 3) -2 + 2w = (-3 + 3w) Solving -2 + 2w = -3 + 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 + 2w + -3w = -3 + 3w + -3w Combine like terms: 2w + -3w = -1w -2 + -1w = -3 + 3w + -3w Combine like terms: 3w + -3w = 0 -2 + -1w = -3 + 0 -2 + -1w = -3 Add '2' to each side of the equation. -2 + 2 + -1w = -3 + 2 Combine like terms: -2 + 2 = 0 0 + -1w = -3 + 2 -1w = -3 + 2 Combine like terms: -3 + 2 = -1 -1w = -1 Divide each side by '-1'. w = 1 Simplifying w = 1
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