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Simplifying -2(w + 9) = 5w + 10 Reorder the terms: -2(9 + w) = 5w + 10 (9 * -2 + w * -2) = 5w + 10 (-18 + -2w) = 5w + 10 Reorder the terms: -18 + -2w = 10 + 5w Solving -18 + -2w = 10 + 5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5w' to each side of the equation. -18 + -2w + -5w = 10 + 5w + -5w Combine like terms: -2w + -5w = -7w -18 + -7w = 10 + 5w + -5w Combine like terms: 5w + -5w = 0 -18 + -7w = 10 + 0 -18 + -7w = 10 Add '18' to each side of the equation. -18 + 18 + -7w = 10 + 18 Combine like terms: -18 + 18 = 0 0 + -7w = 10 + 18 -7w = 10 + 18 Combine like terms: 10 + 18 = 28 -7w = 28 Divide each side by '-7'. w = -4 Simplifying w = -4
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