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Simplifying 2w + 4 = 3w + -14 Reorder the terms: 4 + 2w = 3w + -14 Reorder the terms: 4 + 2w = -14 + 3w Solving 4 + 2w = -14 + 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. 4 + 2w + -3w = -14 + 3w + -3w Combine like terms: 2w + -3w = -1w 4 + -1w = -14 + 3w + -3w Combine like terms: 3w + -3w = 0 4 + -1w = -14 + 0 4 + -1w = -14 Add '-4' to each side of the equation. 4 + -4 + -1w = -14 + -4 Combine like terms: 4 + -4 = 0 0 + -1w = -14 + -4 -1w = -14 + -4 Combine like terms: -14 + -4 = -18 -1w = -18 Divide each side by '-1'. w = 18 Simplifying w = 18
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