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Simplifying 12 + -2w = 5(7 + -1w) 12 + -2w = (7 * 5 + -1w * 5) 12 + -2w = (35 + -5w) Solving 12 + -2w = 35 + -5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '5w' to each side of the equation. 12 + -2w + 5w = 35 + -5w + 5w Combine like terms: -2w + 5w = 3w 12 + 3w = 35 + -5w + 5w Combine like terms: -5w + 5w = 0 12 + 3w = 35 + 0 12 + 3w = 35 Add '-12' to each side of the equation. 12 + -12 + 3w = 35 + -12 Combine like terms: 12 + -12 = 0 0 + 3w = 35 + -12 3w = 35 + -12 Combine like terms: 35 + -12 = 23 3w = 23 Divide each side by '3'. w = 7.666666667 Simplifying w = 7.666666667
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