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Simplifying 6(w + -10) = (4 + 2w) + -2 Reorder the terms: 6(-10 + w) = (4 + 2w) + -2 (-10 * 6 + w * 6) = (4 + 2w) + -2 (-60 + 6w) = (4 + 2w) + -2 Remove parenthesis around (4 + 2w) -60 + 6w = 4 + 2w + -2 Reorder the terms: -60 + 6w = 4 + -2 + 2w Combine like terms: 4 + -2 = 2 -60 + 6w = 2 + 2w Solving -60 + 6w = 2 + 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. -60 + 6w + -2w = 2 + 2w + -2w Combine like terms: 6w + -2w = 4w -60 + 4w = 2 + 2w + -2w Combine like terms: 2w + -2w = 0 -60 + 4w = 2 + 0 -60 + 4w = 2 Add '60' to each side of the equation. -60 + 60 + 4w = 2 + 60 Combine like terms: -60 + 60 = 0 0 + 4w = 2 + 60 4w = 2 + 60 Combine like terms: 2 + 60 = 62 4w = 62 Divide each side by '4'. w = 15.5 Simplifying w = 15.5
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