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Simplifying 6(w + -10) = -2(4 + 2w) Reorder the terms: 6(-10 + w) = -2(4 + 2w) (-10 * 6 + w * 6) = -2(4 + 2w) (-60 + 6w) = -2(4 + 2w) -60 + 6w = (4 * -2 + 2w * -2) -60 + 6w = (-8 + -4w) Solving -60 + 6w = -8 + -4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '4w' to each side of the equation. -60 + 6w + 4w = -8 + -4w + 4w Combine like terms: 6w + 4w = 10w -60 + 10w = -8 + -4w + 4w Combine like terms: -4w + 4w = 0 -60 + 10w = -8 + 0 -60 + 10w = -8 Add '60' to each side of the equation. -60 + 60 + 10w = -8 + 60 Combine like terms: -60 + 60 = 0 0 + 10w = -8 + 60 10w = -8 + 60 Combine like terms: -8 + 60 = 52 10w = 52 Divide each side by '10'. w = 5.2 Simplifying w = 5.2
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