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Simplifying 4w + 2 = 3w + -5 Reorder the terms: 2 + 4w = 3w + -5 Reorder the terms: 2 + 4w = -5 + 3w Solving 2 + 4w = -5 + 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 + 4w + -3w = -5 + 3w + -3w Combine like terms: 4w + -3w = 1w 2 + 1w = -5 + 3w + -3w Combine like terms: 3w + -3w = 0 2 + 1w = -5 + 0 2 + 1w = -5 Add '-2' to each side of the equation. 2 + -2 + 1w = -5 + -2 Combine like terms: 2 + -2 = 0 0 + 1w = -5 + -2 1w = -5 + -2 Combine like terms: -5 + -2 = -7 1w = -7 Divide each side by '1'. w = -7 Simplifying w = -7
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