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Simplifying -14w + 3(5w + -5) = -8 + -2(w + 12) Reorder the terms: -14w + 3(-5 + 5w) = -8 + -2(w + 12) -14w + (-5 * 3 + 5w * 3) = -8 + -2(w + 12) -14w + (-15 + 15w) = -8 + -2(w + 12) Reorder the terms: -15 + -14w + 15w = -8 + -2(w + 12) Combine like terms: -14w + 15w = 1w -15 + 1w = -8 + -2(w + 12) Reorder the terms: -15 + 1w = -8 + -2(12 + w) -15 + 1w = -8 + (12 * -2 + w * -2) -15 + 1w = -8 + (-24 + -2w) Combine like terms: -8 + -24 = -32 -15 + 1w = -32 + -2w Solving -15 + 1w = -32 + -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. -15 + 1w + 2w = -32 + -2w + 2w Combine like terms: 1w + 2w = 3w -15 + 3w = -32 + -2w + 2w Combine like terms: -2w + 2w = 0 -15 + 3w = -32 + 0 -15 + 3w = -32 Add '15' to each side of the equation. -15 + 15 + 3w = -32 + 15 Combine like terms: -15 + 15 = 0 0 + 3w = -32 + 15 3w = -32 + 15 Combine like terms: -32 + 15 = -17 3w = -17 Divide each side by '3'. w = -5.666666667 Simplifying w = -5.666666667
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