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Simplifying -3(3w + -2) = 10(5 + -1w) Reorder the terms: -3(-2 + 3w) = 10(5 + -1w) (-2 * -3 + 3w * -3) = 10(5 + -1w) (6 + -9w) = 10(5 + -1w) 6 + -9w = (5 * 10 + -1w * 10) 6 + -9w = (50 + -10w) Solving 6 + -9w = 50 + -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. 6 + -9w + 10w = 50 + -10w + 10w Combine like terms: -9w + 10w = 1w 6 + 1w = 50 + -10w + 10w Combine like terms: -10w + 10w = 0 6 + 1w = 50 + 0 6 + 1w = 50 Add '-6' to each side of the equation. 6 + -6 + 1w = 50 + -6 Combine like terms: 6 + -6 = 0 0 + 1w = 50 + -6 1w = 50 + -6 Combine like terms: 50 + -6 = 44 1w = 44 Divide each side by '1'. w = 44 Simplifying w = 44
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