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Simplifying 3(7 + -2w) = 3(w + 5) + -84 (7 * 3 + -2w * 3) = 3(w + 5) + -84 (21 + -6w) = 3(w + 5) + -84 Reorder the terms: 21 + -6w = 3(5 + w) + -84 21 + -6w = (5 * 3 + w * 3) + -84 21 + -6w = (15 + 3w) + -84 Reorder the terms: 21 + -6w = 15 + -84 + 3w Combine like terms: 15 + -84 = -69 21 + -6w = -69 + 3w Solving 21 + -6w = -69 + 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. 21 + -6w + -3w = -69 + 3w + -3w Combine like terms: -6w + -3w = -9w 21 + -9w = -69 + 3w + -3w Combine like terms: 3w + -3w = 0 21 + -9w = -69 + 0 21 + -9w = -69 Add '-21' to each side of the equation. 21 + -21 + -9w = -69 + -21 Combine like terms: 21 + -21 = 0 0 + -9w = -69 + -21 -9w = -69 + -21 Combine like terms: -69 + -21 = -90 -9w = -90 Divide each side by '-9'. w = 10 Simplifying w = 10
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