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Simplifying 5w + 36 = 2(w + 3) Reorder the terms: 36 + 5w = 2(w + 3) Reorder the terms: 36 + 5w = 2(3 + w) 36 + 5w = (3 * 2 + w * 2) 36 + 5w = (6 + 2w) Solving 36 + 5w = 6 + 2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2w' to each side of the equation. 36 + 5w + -2w = 6 + 2w + -2w Combine like terms: 5w + -2w = 3w 36 + 3w = 6 + 2w + -2w Combine like terms: 2w + -2w = 0 36 + 3w = 6 + 0 36 + 3w = 6 Add '-36' to each side of the equation. 36 + -36 + 3w = 6 + -36 Combine like terms: 36 + -36 = 0 0 + 3w = 6 + -36 3w = 6 + -36 Combine like terms: 6 + -36 = -30 3w = -30 Divide each side by '3'. w = -10 Simplifying w = -10
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