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Simplifying -3(3w + -3) = 10(7 + -1w) Reorder the terms: -3(-3 + 3w) = 10(7 + -1w) (-3 * -3 + 3w * -3) = 10(7 + -1w) (9 + -9w) = 10(7 + -1w) 9 + -9w = (7 * 10 + -1w * 10) 9 + -9w = (70 + -10w) Solving 9 + -9w = 70 + -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. 9 + -9w + 10w = 70 + -10w + 10w Combine like terms: -9w + 10w = 1w 9 + 1w = 70 + -10w + 10w Combine like terms: -10w + 10w = 0 9 + 1w = 70 + 0 9 + 1w = 70 Add '-9' to each side of the equation. 9 + -9 + 1w = 70 + -9 Combine like terms: 9 + -9 = 0 0 + 1w = 70 + -9 1w = 70 + -9 Combine like terms: 70 + -9 = 61 1w = 61 Divide each side by '1'. w = 61 Simplifying w = 61
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