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Simplifying 7(w + -12) + 3w + 96 = 72 Reorder the terms: 7(-12 + w) + 3w + 96 = 72 (-12 * 7 + w * 7) + 3w + 96 = 72 (-84 + 7w) + 3w + 96 = 72 Reorder the terms: -84 + 96 + 7w + 3w = 72 Combine like terms: -84 + 96 = 12 12 + 7w + 3w = 72 Combine like terms: 7w + 3w = 10w 12 + 10w = 72 Solving 12 + 10w = 72 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 10w = 72 + -12 Combine like terms: 12 + -12 = 0 0 + 10w = 72 + -12 10w = 72 + -12 Combine like terms: 72 + -12 = 60 10w = 60 Divide each side by '10'. w = 6 Simplifying w = 6
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