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Simplifying -2w + 14 = 3(w + 8) Reorder the terms: 14 + -2w = 3(w + 8) Reorder the terms: 14 + -2w = 3(8 + w) 14 + -2w = (8 * 3 + w * 3) 14 + -2w = (24 + 3w) Solving 14 + -2w = 24 + 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. 14 + -2w + -3w = 24 + 3w + -3w Combine like terms: -2w + -3w = -5w 14 + -5w = 24 + 3w + -3w Combine like terms: 3w + -3w = 0 14 + -5w = 24 + 0 14 + -5w = 24 Add '-14' to each side of the equation. 14 + -14 + -5w = 24 + -14 Combine like terms: 14 + -14 = 0 0 + -5w = 24 + -14 -5w = 24 + -14 Combine like terms: 24 + -14 = 10 -5w = 10 Divide each side by '-5'. w = -2 Simplifying w = -2
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