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Simplifying 2(w + -4) = 5w + -14 Reorder the terms: 2(-4 + w) = 5w + -14 (-4 * 2 + w * 2) = 5w + -14 (-8 + 2w) = 5w + -14 Reorder the terms: -8 + 2w = -14 + 5w Solving -8 + 2w = -14 + 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. -8 + 2w + -5w = -14 + 5w + -5w Combine like terms: 2w + -5w = -3w -8 + -3w = -14 + 5w + -5w Combine like terms: 5w + -5w = 0 -8 + -3w = -14 + 0 -8 + -3w = -14 Add '8' to each side of the equation. -8 + 8 + -3w = -14 + 8 Combine like terms: -8 + 8 = 0 0 + -3w = -14 + 8 -3w = -14 + 8 Combine like terms: -14 + 8 = -6 -3w = -6 Divide each side by '-3'. w = 2 Simplifying w = 2
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