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Simplifying 8(w + 7) = 12(w + 6) Reorder the terms: 8(7 + w) = 12(w + 6) (7 * 8 + w * 8) = 12(w + 6) (56 + 8w) = 12(w + 6) Reorder the terms: 56 + 8w = 12(6 + w) 56 + 8w = (6 * 12 + w * 12) 56 + 8w = (72 + 12w) Solving 56 + 8w = 72 + 12w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-12w' to each side of the equation. 56 + 8w + -12w = 72 + 12w + -12w Combine like terms: 8w + -12w = -4w 56 + -4w = 72 + 12w + -12w Combine like terms: 12w + -12w = 0 56 + -4w = 72 + 0 56 + -4w = 72 Add '-56' to each side of the equation. 56 + -56 + -4w = 72 + -56 Combine like terms: 56 + -56 = 0 0 + -4w = 72 + -56 -4w = 72 + -56 Combine like terms: 72 + -56 = 16 -4w = 16 Divide each side by '-4'. w = -4 Simplifying w = -4
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