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Simplifying -2(5w + -6) + w = (w + 4) Reorder the terms: -2(-6 + 5w) + w = (w + 4) (-6 * -2 + 5w * -2) + w = (w + 4) (12 + -10w) + w = (w + 4) Combine like terms: -10w + w = -9w 12 + -9w = (w + 4) Reorder the terms: 12 + -9w = (4 + w) Remove parenthesis around (4 + w) 12 + -9w = 4 + w Solving 12 + -9w = 4 + w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1w' to each side of the equation. 12 + -9w + -1w = 4 + w + -1w Combine like terms: -9w + -1w = -10w 12 + -10w = 4 + w + -1w Combine like terms: w + -1w = 0 12 + -10w = 4 + 0 12 + -10w = 4 Add '-12' to each side of the equation. 12 + -12 + -10w = 4 + -12 Combine like terms: 12 + -12 = 0 0 + -10w = 4 + -12 -10w = 4 + -12 Combine like terms: 4 + -12 = -8 -10w = -8 Divide each side by '-10'. w = 0.8 Simplifying w = 0.8
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