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Simplifying 3w + 7 = 4w + 13 Reorder the terms: 7 + 3w = 4w + 13 Reorder the terms: 7 + 3w = 13 + 4w Solving 7 + 3w = 13 + 4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4w' to each side of the equation. 7 + 3w + -4w = 13 + 4w + -4w Combine like terms: 3w + -4w = -1w 7 + -1w = 13 + 4w + -4w Combine like terms: 4w + -4w = 0 7 + -1w = 13 + 0 7 + -1w = 13 Add '-7' to each side of the equation. 7 + -7 + -1w = 13 + -7 Combine like terms: 7 + -7 = 0 0 + -1w = 13 + -7 -1w = 13 + -7 Combine like terms: 13 + -7 = 6 -1w = 6 Divide each side by '-1'. w = -6 Simplifying w = -6
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