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Simplifying 5(w + -6) = 2w + -24 Reorder the terms: 5(-6 + w) = 2w + -24 (-6 * 5 + w * 5) = 2w + -24 (-30 + 5w) = 2w + -24 Reorder the terms: -30 + 5w = -24 + 2w Solving -30 + 5w = -24 + 2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2w' to each side of the equation. -30 + 5w + -2w = -24 + 2w + -2w Combine like terms: 5w + -2w = 3w -30 + 3w = -24 + 2w + -2w Combine like terms: 2w + -2w = 0 -30 + 3w = -24 + 0 -30 + 3w = -24 Add '30' to each side of the equation. -30 + 30 + 3w = -24 + 30 Combine like terms: -30 + 30 = 0 0 + 3w = -24 + 30 3w = -24 + 30 Combine like terms: -24 + 30 = 6 3w = 6 Divide each side by '3'. w = 2 Simplifying w = 2
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