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Simplifying 4w + 2 + 7w + -14 = 1 + -9(w + -1) Reorder the terms: 2 + -14 + 4w + 7w = 1 + -9(w + -1) Combine like terms: 2 + -14 = -12 -12 + 4w + 7w = 1 + -9(w + -1) Combine like terms: 4w + 7w = 11w -12 + 11w = 1 + -9(w + -1) Reorder the terms: -12 + 11w = 1 + -9(-1 + w) -12 + 11w = 1 + (-1 * -9 + w * -9) -12 + 11w = 1 + (9 + -9w) Combine like terms: 1 + 9 = 10 -12 + 11w = 10 + -9w Solving -12 + 11w = 10 + -9w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '9w' to each side of the equation. -12 + 11w + 9w = 10 + -9w + 9w Combine like terms: 11w + 9w = 20w -12 + 20w = 10 + -9w + 9w Combine like terms: -9w + 9w = 0 -12 + 20w = 10 + 0 -12 + 20w = 10 Add '12' to each side of the equation. -12 + 12 + 20w = 10 + 12 Combine like terms: -12 + 12 = 0 0 + 20w = 10 + 12 20w = 10 + 12 Combine like terms: 10 + 12 = 22 20w = 22 Divide each side by '20'. w = 1.1 Simplifying w = 1.1
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