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