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Simplifying 3w + 24 = 7w Reorder the terms: 24 + 3w = 7w Solving 24 + 3w = 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. 24 + 3w + -7w = 7w + -7w Combine like terms: 3w + -7w = -4w 24 + -4w = 7w + -7w Combine like terms: 7w + -7w = 0 24 + -4w = 0 Add '-24' to each side of the equation. 24 + -24 + -4w = 0 + -24 Combine like terms: 24 + -24 = 0 0 + -4w = 0 + -24 -4w = 0 + -24 Combine like terms: 0 + -24 = -24 -4w = -24 Divide each side by '-4'. w = 6 Simplifying w = 6
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