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Simplifying 7(2w + 4) + -1w = -14 + 3(w + 10) Reorder the terms: 7(4 + 2w) + -1w = -14 + 3(w + 10) (4 * 7 + 2w * 7) + -1w = -14 + 3(w + 10) (28 + 14w) + -1w = -14 + 3(w + 10) Combine like terms: 14w + -1w = 13w 28 + 13w = -14 + 3(w + 10) Reorder the terms: 28 + 13w = -14 + 3(10 + w) 28 + 13w = -14 + (10 * 3 + w * 3) 28 + 13w = -14 + (30 + 3w) Combine like terms: -14 + 30 = 16 28 + 13w = 16 + 3w Solving 28 + 13w = 16 + 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. 28 + 13w + -3w = 16 + 3w + -3w Combine like terms: 13w + -3w = 10w 28 + 10w = 16 + 3w + -3w Combine like terms: 3w + -3w = 0 28 + 10w = 16 + 0 28 + 10w = 16 Add '-28' to each side of the equation. 28 + -28 + 10w = 16 + -28 Combine like terms: 28 + -28 = 0 0 + 10w = 16 + -28 10w = 16 + -28 Combine like terms: 16 + -28 = -12 10w = -12 Divide each side by '10'. w = -1.2 Simplifying w = -1.2
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