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Simplifying 3(w + 4) = 7(w + 2) Reorder the terms: 3(4 + w) = 7(w + 2) (4 * 3 + w * 3) = 7(w + 2) (12 + 3w) = 7(w + 2) Reorder the terms: 12 + 3w = 7(2 + w) 12 + 3w = (2 * 7 + w * 7) 12 + 3w = (14 + 7w) Solving 12 + 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. 12 + 3w + -7w = 14 + 7w + -7w Combine like terms: 3w + -7w = -4w 12 + -4w = 14 + 7w + -7w Combine like terms: 7w + -7w = 0 12 + -4w = 14 + 0 12 + -4w = 14 Add '-12' to each side of the equation. 12 + -12 + -4w = 14 + -12 Combine like terms: 12 + -12 = 0 0 + -4w = 14 + -12 -4w = 14 + -12 Combine like terms: 14 + -12 = 2 -4w = 2 Divide each side by '-4'. w = -0.5 Simplifying w = -0.5
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