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Simplifying -7w + 6 = 2(w + -6) Reorder the terms: 6 + -7w = 2(w + -6) Reorder the terms: 6 + -7w = 2(-6 + w) 6 + -7w = (-6 * 2 + w * 2) 6 + -7w = (-12 + 2w) Solving 6 + -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. 6 + -7w + -2w = -12 + 2w + -2w Combine like terms: -7w + -2w = -9w 6 + -9w = -12 + 2w + -2w Combine like terms: 2w + -2w = 0 6 + -9w = -12 + 0 6 + -9w = -12 Add '-6' to each side of the equation. 6 + -6 + -9w = -12 + -6 Combine like terms: 6 + -6 = 0 0 + -9w = -12 + -6 -9w = -12 + -6 Combine like terms: -12 + -6 = -18 -9w = -18 Divide each side by '-9'. w = 2 Simplifying w = 2
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