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Simplifying -2(5w + -7) + 4w = 2(w + 8) Reorder the terms: -2(-7 + 5w) + 4w = 2(w + 8) (-7 * -2 + 5w * -2) + 4w = 2(w + 8) (14 + -10w) + 4w = 2(w + 8) Combine like terms: -10w + 4w = -6w 14 + -6w = 2(w + 8) Reorder the terms: 14 + -6w = 2(8 + w) 14 + -6w = (8 * 2 + w * 2) 14 + -6w = (16 + 2w) Solving 14 + -6w = 16 + 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. 14 + -6w + -2w = 16 + 2w + -2w Combine like terms: -6w + -2w = -8w 14 + -8w = 16 + 2w + -2w Combine like terms: 2w + -2w = 0 14 + -8w = 16 + 0 14 + -8w = 16 Add '-14' to each side of the equation. 14 + -14 + -8w = 16 + -14 Combine like terms: 14 + -14 = 0 0 + -8w = 16 + -14 -8w = 16 + -14 Combine like terms: 16 + -14 = 2 -8w = 2 Divide each side by '-8'. w = -0.25 Simplifying w = -0.25
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