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Simplifying 2(w + -1) = 6w + 8 Reorder the terms: 2(-1 + w) = 6w + 8 (-1 * 2 + w * 2) = 6w + 8 (-2 + 2w) = 6w + 8 Reorder the terms: -2 + 2w = 8 + 6w Solving -2 + 2w = 8 + 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. -2 + 2w + -6w = 8 + 6w + -6w Combine like terms: 2w + -6w = -4w -2 + -4w = 8 + 6w + -6w Combine like terms: 6w + -6w = 0 -2 + -4w = 8 + 0 -2 + -4w = 8 Add '2' to each side of the equation. -2 + 2 + -4w = 8 + 2 Combine like terms: -2 + 2 = 0 0 + -4w = 8 + 2 -4w = 8 + 2 Combine like terms: 8 + 2 = 10 -4w = 10 Divide each side by '-4'. w = -2.5 Simplifying w = -2.5
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