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Simplifying 9w + 15 = 6(w + 4) Reorder the terms: 15 + 9w = 6(w + 4) Reorder the terms: 15 + 9w = 6(4 + w) 15 + 9w = (4 * 6 + w * 6) 15 + 9w = (24 + 6w) Solving 15 + 9w = 24 + 6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6w' to each side of the equation. 15 + 9w + -6w = 24 + 6w + -6w Combine like terms: 9w + -6w = 3w 15 + 3w = 24 + 6w + -6w Combine like terms: 6w + -6w = 0 15 + 3w = 24 + 0 15 + 3w = 24 Add '-15' to each side of the equation. 15 + -15 + 3w = 24 + -15 Combine like terms: 15 + -15 = 0 0 + 3w = 24 + -15 3w = 24 + -15 Combine like terms: 24 + -15 = 9 3w = 9 Divide each side by '3'. w = 3 Simplifying w = 3
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