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Simplifying 24 + -6w = 7w + 5w Combine like terms: 7w + 5w = 12w 24 + -6w = 12w Solving 24 + -6w = 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 + -6w + -12w = 12w + -12w Combine like terms: -6w + -12w = -18w 24 + -18w = 12w + -12w Combine like terms: 12w + -12w = 0 24 + -18w = 0 Add '-24' to each side of the equation. 24 + -24 + -18w = 0 + -24 Combine like terms: 24 + -24 = 0 0 + -18w = 0 + -24 -18w = 0 + -24 Combine like terms: 0 + -24 = -24 -18w = -24 Divide each side by '-18'. w = 1.333333333 Simplifying w = 1.333333333
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