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Simplifying 3w + 36 = 5(w + 8) Reorder the terms: 36 + 3w = 5(w + 8) Reorder the terms: 36 + 3w = 5(8 + w) 36 + 3w = (8 * 5 + w * 5) 36 + 3w = (40 + 5w) Solving 36 + 3w = 40 + 5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5w' to each side of the equation. 36 + 3w + -5w = 40 + 5w + -5w Combine like terms: 3w + -5w = -2w 36 + -2w = 40 + 5w + -5w Combine like terms: 5w + -5w = 0 36 + -2w = 40 + 0 36 + -2w = 40 Add '-36' to each side of the equation. 36 + -36 + -2w = 40 + -36 Combine like terms: 36 + -36 = 0 0 + -2w = 40 + -36 -2w = 40 + -36 Combine like terms: 40 + -36 = 4 -2w = 4 Divide each side by '-2'. w = -2 Simplifying w = -2
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