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Simplifying w + 2 = 3w + -4 Reorder the terms: 2 + w = 3w + -4 Reorder the terms: 2 + w = -4 + 3w Solving 2 + w = -4 + 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 + w + -3w = -4 + 3w + -3w Combine like terms: w + -3w = -2w 2 + -2w = -4 + 3w + -3w Combine like terms: 3w + -3w = 0 2 + -2w = -4 + 0 2 + -2w = -4 Add '-2' to each side of the equation. 2 + -2 + -2w = -4 + -2 Combine like terms: 2 + -2 = 0 0 + -2w = -4 + -2 -2w = -4 + -2 Combine like terms: -4 + -2 = -6 -2w = -6 Divide each side by '-2'. w = 3 Simplifying w = 3
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