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Simplifying -3w + 10 = w + 2 Reorder the terms: 10 + -3w = w + 2 Reorder the terms: 10 + -3w = 2 + w Solving 10 + -3w = 2 + w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1w' to each side of the equation. 10 + -3w + -1w = 2 + w + -1w Combine like terms: -3w + -1w = -4w 10 + -4w = 2 + w + -1w Combine like terms: w + -1w = 0 10 + -4w = 2 + 0 10 + -4w = 2 Add '-10' to each side of the equation. 10 + -10 + -4w = 2 + -10 Combine like terms: 10 + -10 = 0 0 + -4w = 2 + -10 -4w = 2 + -10 Combine like terms: 2 + -10 = -8 -4w = -8 Divide each side by '-4'. w = 2 Simplifying w = 2
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