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Simplifying 3w + 8 = 4w + -2 Reorder the terms: 8 + 3w = 4w + -2 Reorder the terms: 8 + 3w = -2 + 4w Solving 8 + 3w = -2 + 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. 8 + 3w + -4w = -2 + 4w + -4w Combine like terms: 3w + -4w = -1w 8 + -1w = -2 + 4w + -4w Combine like terms: 4w + -4w = 0 8 + -1w = -2 + 0 8 + -1w = -2 Add '-8' to each side of the equation. 8 + -8 + -1w = -2 + -8 Combine like terms: 8 + -8 = 0 0 + -1w = -2 + -8 -1w = -2 + -8 Combine like terms: -2 + -8 = -10 -1w = -10 Divide each side by '-1'. w = 10 Simplifying w = 10
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