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Simplifying 3w + 14 = 7w + -14 Reorder the terms: 14 + 3w = 7w + -14 Reorder the terms: 14 + 3w = -14 + 7w Solving 14 + 3w = -14 + 7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-7w' to each side of the equation. 14 + 3w + -7w = -14 + 7w + -7w Combine like terms: 3w + -7w = -4w 14 + -4w = -14 + 7w + -7w Combine like terms: 7w + -7w = 0 14 + -4w = -14 + 0 14 + -4w = -14 Add '-14' to each side of the equation. 14 + -14 + -4w = -14 + -14 Combine like terms: 14 + -14 = 0 0 + -4w = -14 + -14 -4w = -14 + -14 Combine like terms: -14 + -14 = -28 -4w = -28 Divide each side by '-4'. w = 7 Simplifying w = 7
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