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Simplifying 36 = 4(w + 6) + -7w Reorder the terms: 36 = 4(6 + w) + -7w 36 = (6 * 4 + w * 4) + -7w 36 = (24 + 4w) + -7w Combine like terms: 4w + -7w = -3w 36 = 24 + -3w Solving 36 = 24 + -3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '3w' to each side of the equation. 36 + 3w = 24 + -3w + 3w Combine like terms: -3w + 3w = 0 36 + 3w = 24 + 0 36 + 3w = 24 Add '-36' to each side of the equation. 36 + -36 + 3w = 24 + -36 Combine like terms: 36 + -36 = 0 0 + 3w = 24 + -36 3w = 24 + -36 Combine like terms: 24 + -36 = -12 3w = -12 Divide each side by '3'. w = -4 Simplifying w = -4
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