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Simplifying 2(4 + 2w) = 6(w + -10) (4 * 2 + 2w * 2) = 6(w + -10) (8 + 4w) = 6(w + -10) Reorder the terms: 8 + 4w = 6(-10 + w) 8 + 4w = (-10 * 6 + w * 6) 8 + 4w = (-60 + 6w) Solving 8 + 4w = -60 + 6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6w' to each side of the equation. 8 + 4w + -6w = -60 + 6w + -6w Combine like terms: 4w + -6w = -2w 8 + -2w = -60 + 6w + -6w Combine like terms: 6w + -6w = 0 8 + -2w = -60 + 0 8 + -2w = -60 Add '-8' to each side of the equation. 8 + -8 + -2w = -60 + -8 Combine like terms: 8 + -8 = 0 0 + -2w = -60 + -8 -2w = -60 + -8 Combine like terms: -60 + -8 = -68 -2w = -68 Divide each side by '-2'. w = 34 Simplifying w = 34
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