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Simplifying 2w + 3 = 5(w + 3) Reorder the terms: 3 + 2w = 5(w + 3) Reorder the terms: 3 + 2w = 5(3 + w) 3 + 2w = (3 * 5 + w * 5) 3 + 2w = (15 + 5w) Solving 3 + 2w = 15 + 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. 3 + 2w + -5w = 15 + 5w + -5w Combine like terms: 2w + -5w = -3w 3 + -3w = 15 + 5w + -5w Combine like terms: 5w + -5w = 0 3 + -3w = 15 + 0 3 + -3w = 15 Add '-3' to each side of the equation. 3 + -3 + -3w = 15 + -3 Combine like terms: 3 + -3 = 0 0 + -3w = 15 + -3 -3w = 15 + -3 Combine like terms: 15 + -3 = 12 -3w = 12 Divide each side by '-3'. w = -4 Simplifying w = -4
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