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Simplifying 15w + 15 = 5(-3w + 3) Reorder the terms: 15 + 15w = 5(-3w + 3) Reorder the terms: 15 + 15w = 5(3 + -3w) 15 + 15w = (3 * 5 + -3w * 5) 15 + 15w = (15 + -15w) Add '-15' to each side of the equation. 15 + -15 + 15w = 15 + -15 + -15w Combine like terms: 15 + -15 = 0 0 + 15w = 15 + -15 + -15w 15w = 15 + -15 + -15w Combine like terms: 15 + -15 = 0 15w = 0 + -15w 15w = -15w Solving 15w = -15w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '15w' to each side of the equation. 15w + 15w = -15w + 15w Combine like terms: 15w + 15w = 30w 30w = -15w + 15w Combine like terms: -15w + 15w = 0 30w = 0 Divide each side by '30'. w = 0.0 Simplifying w = 0.0
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