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Simplifying 3(w + 8) = 6(2w + -10) Reorder the terms: 3(8 + w) = 6(2w + -10) (8 * 3 + w * 3) = 6(2w + -10) (24 + 3w) = 6(2w + -10) Reorder the terms: 24 + 3w = 6(-10 + 2w) 24 + 3w = (-10 * 6 + 2w * 6) 24 + 3w = (-60 + 12w) Solving 24 + 3w = -60 + 12w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-12w' to each side of the equation. 24 + 3w + -12w = -60 + 12w + -12w Combine like terms: 3w + -12w = -9w 24 + -9w = -60 + 12w + -12w Combine like terms: 12w + -12w = 0 24 + -9w = -60 + 0 24 + -9w = -60 Add '-24' to each side of the equation. 24 + -24 + -9w = -60 + -24 Combine like terms: 24 + -24 = 0 0 + -9w = -60 + -24 -9w = -60 + -24 Combine like terms: -60 + -24 = -84 -9w = -84 Divide each side by '-9'. w = 9.333333333 Simplifying w = 9.333333333
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