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Simplifying 3w + 2 = 5(w + 2) Reorder the terms: 2 + 3w = 5(w + 2) Reorder the terms: 2 + 3w = 5(2 + w) 2 + 3w = (2 * 5 + w * 5) 2 + 3w = (10 + 5w) Solving 2 + 3w = 10 + 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. 2 + 3w + -5w = 10 + 5w + -5w Combine like terms: 3w + -5w = -2w 2 + -2w = 10 + 5w + -5w Combine like terms: 5w + -5w = 0 2 + -2w = 10 + 0 2 + -2w = 10 Add '-2' to each side of the equation. 2 + -2 + -2w = 10 + -2 Combine like terms: 2 + -2 = 0 0 + -2w = 10 + -2 -2w = 10 + -2 Combine like terms: 10 + -2 = 8 -2w = 8 Divide each side by '-2'. w = -4 Simplifying w = -4
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