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Simplifying 12w + 15 + -9 + 5 = 3w + 5 + -9 Reorder the terms: 15 + -9 + 5 + 12w = 3w + 5 + -9 Combine like terms: 15 + -9 = 6 6 + 5 + 12w = 3w + 5 + -9 Combine like terms: 6 + 5 = 11 11 + 12w = 3w + 5 + -9 Reorder the terms: 11 + 12w = 5 + -9 + 3w Combine like terms: 5 + -9 = -4 11 + 12w = -4 + 3w Solving 11 + 12w = -4 + 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. 11 + 12w + -3w = -4 + 3w + -3w Combine like terms: 12w + -3w = 9w 11 + 9w = -4 + 3w + -3w Combine like terms: 3w + -3w = 0 11 + 9w = -4 + 0 11 + 9w = -4 Add '-11' to each side of the equation. 11 + -11 + 9w = -4 + -11 Combine like terms: 11 + -11 = 0 0 + 9w = -4 + -11 9w = -4 + -11 Combine like terms: -4 + -11 = -15 9w = -15 Divide each side by '9'. w = -1.666666667 Simplifying w = -1.666666667
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