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Simplifying -7w + 24 = 2(w + -6) Reorder the terms: 24 + -7w = 2(w + -6) Reorder the terms: 24 + -7w = 2(-6 + w) 24 + -7w = (-6 * 2 + w * 2) 24 + -7w = (-12 + 2w) Solving 24 + -7w = -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. 24 + -7w + -2w = -12 + 2w + -2w Combine like terms: -7w + -2w = -9w 24 + -9w = -12 + 2w + -2w Combine like terms: 2w + -2w = 0 24 + -9w = -12 + 0 24 + -9w = -12 Add '-24' to each side of the equation. 24 + -24 + -9w = -12 + -24 Combine like terms: 24 + -24 = 0 0 + -9w = -12 + -24 -9w = -12 + -24 Combine like terms: -12 + -24 = -36 -9w = -36 Divide each side by '-9'. w = 4 Simplifying w = 4
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