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Simplifying 36 = 4w + 3(w + 5) Reorder the terms: 36 = 4w + 3(5 + w) 36 = 4w + (5 * 3 + w * 3) 36 = 4w + (15 + 3w) Reorder the terms: 36 = 15 + 4w + 3w Combine like terms: 4w + 3w = 7w 36 = 15 + 7w Solving 36 = 15 + 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. 36 + -7w = 15 + 7w + -7w Combine like terms: 7w + -7w = 0 36 + -7w = 15 + 0 36 + -7w = 15 Add '-36' to each side of the equation. 36 + -36 + -7w = 15 + -36 Combine like terms: 36 + -36 = 0 0 + -7w = 15 + -36 -7w = 15 + -36 Combine like terms: 15 + -36 = -21 -7w = -21 Divide each side by '-7'. w = 3 Simplifying w = 3
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