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