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Simplifying 10 + -3w + 5 = 9w + 3 + -6w Reorder the terms: 10 + 5 + -3w = 9w + 3 + -6w Combine like terms: 10 + 5 = 15 15 + -3w = 9w + 3 + -6w Reorder the terms: 15 + -3w = 3 + 9w + -6w Combine like terms: 9w + -6w = 3w 15 + -3w = 3 + 3w Solving 15 + -3w = 3 + 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 + -3w + -3w = 3 + 3w + -3w Combine like terms: -3w + -3w = -6w 15 + -6w = 3 + 3w + -3w Combine like terms: 3w + -3w = 0 15 + -6w = 3 + 0 15 + -6w = 3 Add '-15' to each side of the equation. 15 + -15 + -6w = 3 + -15 Combine like terms: 15 + -15 = 0 0 + -6w = 3 + -15 -6w = 3 + -15 Combine like terms: 3 + -15 = -12 -6w = -12 Divide each side by '-6'. w = 2 Simplifying w = 2
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