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Simplifying w + 5 = 2(w + -6) Reorder the terms: 5 + w = 2(w + -6) Reorder the terms: 5 + w = 2(-6 + w) 5 + w = (-6 * 2 + w * 2) 5 + w = (-12 + 2w) Solving 5 + w = -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. 5 + w + -2w = -12 + 2w + -2w Combine like terms: w + -2w = -1w 5 + -1w = -12 + 2w + -2w Combine like terms: 2w + -2w = 0 5 + -1w = -12 + 0 5 + -1w = -12 Add '-5' to each side of the equation. 5 + -5 + -1w = -12 + -5 Combine like terms: 5 + -5 = 0 0 + -1w = -12 + -5 -1w = -12 + -5 Combine like terms: -12 + -5 = -17 -1w = -17 Divide each side by '-1'. w = 17 Simplifying w = 17
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