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Simplifying 9w + 15 = 3w + 45 Reorder the terms: 15 + 9w = 3w + 45 Reorder the terms: 15 + 9w = 45 + 3w Solving 15 + 9w = 45 + 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. 15 + 9w + -3w = 45 + 3w + -3w Combine like terms: 9w + -3w = 6w 15 + 6w = 45 + 3w + -3w Combine like terms: 3w + -3w = 0 15 + 6w = 45 + 0 15 + 6w = 45 Add '-15' to each side of the equation. 15 + -15 + 6w = 45 + -15 Combine like terms: 15 + -15 = 0 0 + 6w = 45 + -15 6w = 45 + -15 Combine like terms: 45 + -15 = 30 6w = 30 Divide each side by '6'. w = 5 Simplifying w = 5
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