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Simplifying 3(w + 7) = 4(w + 7) Reorder the terms: 3(7 + w) = 4(w + 7) (7 * 3 + w * 3) = 4(w + 7) (21 + 3w) = 4(w + 7) Reorder the terms: 21 + 3w = 4(7 + w) 21 + 3w = (7 * 4 + w * 4) 21 + 3w = (28 + 4w) Solving 21 + 3w = 28 + 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. 21 + 3w + -4w = 28 + 4w + -4w Combine like terms: 3w + -4w = -1w 21 + -1w = 28 + 4w + -4w Combine like terms: 4w + -4w = 0 21 + -1w = 28 + 0 21 + -1w = 28 Add '-21' to each side of the equation. 21 + -21 + -1w = 28 + -21 Combine like terms: 21 + -21 = 0 0 + -1w = 28 + -21 -1w = 28 + -21 Combine like terms: 28 + -21 = 7 -1w = 7 Divide each side by '-1'. w = -7 Simplifying w = -7
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