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Simplifying -5w + 9 = 2(w + -6) Reorder the terms: 9 + -5w = 2(w + -6) Reorder the terms: 9 + -5w = 2(-6 + w) 9 + -5w = (-6 * 2 + w * 2) 9 + -5w = (-12 + 2w) Solving 9 + -5w = -12 + 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. 9 + -5w + -2w = -12 + 2w + -2w Combine like terms: -5w + -2w = -7w 9 + -7w = -12 + 2w + -2w Combine like terms: 2w + -2w = 0 9 + -7w = -12 + 0 9 + -7w = -12 Add '-9' to each side of the equation. 9 + -9 + -7w = -12 + -9 Combine like terms: 9 + -9 = 0 0 + -7w = -12 + -9 -7w = -12 + -9 Combine like terms: -12 + -9 = -21 -7w = -21 Divide each side by '-7'. w = 3 Simplifying w = 3
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