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Simplifying 4w + 7 = 3w + -7 Reorder the terms: 7 + 4w = 3w + -7 Reorder the terms: 7 + 4w = -7 + 3w Solving 7 + 4w = -7 + 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. 7 + 4w + -3w = -7 + 3w + -3w Combine like terms: 4w + -3w = 1w 7 + 1w = -7 + 3w + -3w Combine like terms: 3w + -3w = 0 7 + 1w = -7 + 0 7 + 1w = -7 Add '-7' to each side of the equation. 7 + -7 + 1w = -7 + -7 Combine like terms: 7 + -7 = 0 0 + 1w = -7 + -7 1w = -7 + -7 Combine like terms: -7 + -7 = -14 1w = -14 Divide each side by '1'. w = -14 Simplifying w = -14
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