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Simplifying 5w + -24 = 2(w + -9) Reorder the terms: -24 + 5w = 2(w + -9) Reorder the terms: -24 + 5w = 2(-9 + w) -24 + 5w = (-9 * 2 + w * 2) -24 + 5w = (-18 + 2w) Solving -24 + 5w = -18 + 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. -24 + 5w + -2w = -18 + 2w + -2w Combine like terms: 5w + -2w = 3w -24 + 3w = -18 + 2w + -2w Combine like terms: 2w + -2w = 0 -24 + 3w = -18 + 0 -24 + 3w = -18 Add '24' to each side of the equation. -24 + 24 + 3w = -18 + 24 Combine like terms: -24 + 24 = 0 0 + 3w = -18 + 24 3w = -18 + 24 Combine like terms: -18 + 24 = 6 3w = 6 Divide each side by '3'. w = 2 Simplifying w = 2
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