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Simplifying 6w + 8 = 2w + -40 Reorder the terms: 8 + 6w = 2w + -40 Reorder the terms: 8 + 6w = -40 + 2w Solving 8 + 6w = -40 + 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. 8 + 6w + -2w = -40 + 2w + -2w Combine like terms: 6w + -2w = 4w 8 + 4w = -40 + 2w + -2w Combine like terms: 2w + -2w = 0 8 + 4w = -40 + 0 8 + 4w = -40 Add '-8' to each side of the equation. 8 + -8 + 4w = -40 + -8 Combine like terms: 8 + -8 = 0 0 + 4w = -40 + -8 4w = -40 + -8 Combine like terms: -40 + -8 = -48 4w = -48 Divide each side by '4'. w = -12 Simplifying w = -12
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