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Simplifying 36 = -7w + 4(w + 3) Reorder the terms: 36 = -7w + 4(3 + w) 36 = -7w + (3 * 4 + w * 4) 36 = -7w + (12 + 4w) Reorder the terms: 36 = 12 + -7w + 4w Combine like terms: -7w + 4w = -3w 36 = 12 + -3w Solving 36 = 12 + -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 = 12 + -3w + 3w Combine like terms: -3w + 3w = 0 36 + 3w = 12 + 0 36 + 3w = 12 Add '-36' to each side of the equation. 36 + -36 + 3w = 12 + -36 Combine like terms: 36 + -36 = 0 0 + 3w = 12 + -36 3w = 12 + -36 Combine like terms: 12 + -36 = -24 3w = -24 Divide each side by '3'. w = -8 Simplifying w = -8
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