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Simplifying -3(-1 + 3w) = -1(-13 + 10w) (-1 * -3 + 3w * -3) = -1(-13 + 10w) (3 + -9w) = -1(-13 + 10w) 3 + -9w = (-13 * -1 + 10w * -1) 3 + -9w = (13 + -10w) Solving 3 + -9w = 13 + -10w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '10w' to each side of the equation. 3 + -9w + 10w = 13 + -10w + 10w Combine like terms: -9w + 10w = 1w 3 + 1w = 13 + -10w + 10w Combine like terms: -10w + 10w = 0 3 + 1w = 13 + 0 3 + 1w = 13 Add '-3' to each side of the equation. 3 + -3 + 1w = 13 + -3 Combine like terms: 3 + -3 = 0 0 + 1w = 13 + -3 1w = 13 + -3 Combine like terms: 13 + -3 = 10 1w = 10 Divide each side by '1'. w = 10 Simplifying w = 10
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