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Simplifying -5w + -10 = 2(w + 9) Reorder the terms: -10 + -5w = 2(w + 9) Reorder the terms: -10 + -5w = 2(9 + w) -10 + -5w = (9 * 2 + w * 2) -10 + -5w = (18 + 2w) Solving -10 + -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. -10 + -5w + -2w = 18 + 2w + -2w Combine like terms: -5w + -2w = -7w -10 + -7w = 18 + 2w + -2w Combine like terms: 2w + -2w = 0 -10 + -7w = 18 + 0 -10 + -7w = 18 Add '10' to each side of the equation. -10 + 10 + -7w = 18 + 10 Combine like terms: -10 + 10 = 0 0 + -7w = 18 + 10 -7w = 18 + 10 Combine like terms: 18 + 10 = 28 -7w = 28 Divide each side by '-7'. w = -4 Simplifying w = -4
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