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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 = -10w -8 + -10w = -60 + 6w + -6w Combine like terms: 6w + -6w = 0 -8 + -10w = -60 + 0 -8 + -10w = -60 Add '8' to each side of the equation. -8 + 8 + -10w = -60 + 8 Combine like terms: -8 + 8 = 0 0 + -10w = -60 + 8 -10w = -60 + 8 Combine like terms: -60 + 8 = -52 -10w = -52 Divide each side by '-10'. w = 5.2 Simplifying w = 5.2
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