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Simplifying -5(w + -6) = 2w + 9 Reorder the terms: -5(-6 + w) = 2w + 9 (-6 * -5 + w * -5) = 2w + 9 (30 + -5w) = 2w + 9 Reorder the terms: 30 + -5w = 9 + 2w Solving 30 + -5w = 9 + 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 = 9 + 2w + -2w Combine like terms: -5w + -2w = -7w 30 + -7w = 9 + 2w + -2w Combine like terms: 2w + -2w = 0 30 + -7w = 9 + 0 30 + -7w = 9 Add '-30' to each side of the equation. 30 + -30 + -7w = 9 + -30 Combine like terms: 30 + -30 = 0 0 + -7w = 9 + -30 -7w = 9 + -30 Combine like terms: 9 + -30 = -21 -7w = -21 Divide each side by '-7'. w = 3 Simplifying w = 3
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