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Simplifying 6w + -35 = 5 + -1(3 + -2w) Reorder the terms: -35 + 6w = 5 + -1(3 + -2w) -35 + 6w = 5 + (3 * -1 + -2w * -1) -35 + 6w = 5 + (-3 + 2w) Combine like terms: 5 + -3 = 2 -35 + 6w = 2 + 2w Solving -35 + 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. -35 + 6w + -2w = 2 + 2w + -2w Combine like terms: 6w + -2w = 4w -35 + 4w = 2 + 2w + -2w Combine like terms: 2w + -2w = 0 -35 + 4w = 2 + 0 -35 + 4w = 2 Add '35' to each side of the equation. -35 + 35 + 4w = 2 + 35 Combine like terms: -35 + 35 = 0 0 + 4w = 2 + 35 4w = 2 + 35 Combine like terms: 2 + 35 = 37 4w = 37 Divide each side by '4'. w = 9.25 Simplifying w = 9.25
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