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Simplifying 12w + 15w + -9 + 5 = -3w + -5 + -9 Reorder the terms: -9 + 5 + 12w + 15w = -3w + -5 + -9 Combine like terms: -9 + 5 = -4 -4 + 12w + 15w = -3w + -5 + -9 Combine like terms: 12w + 15w = 27w -4 + 27w = -3w + -5 + -9 Reorder the terms: -4 + 27w = -5 + -9 + -3w Combine like terms: -5 + -9 = -14 -4 + 27w = -14 + -3w Solving -4 + 27w = -14 + -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. -4 + 27w + 3w = -14 + -3w + 3w Combine like terms: 27w + 3w = 30w -4 + 30w = -14 + -3w + 3w Combine like terms: -3w + 3w = 0 -4 + 30w = -14 + 0 -4 + 30w = -14 Add '4' to each side of the equation. -4 + 4 + 30w = -14 + 4 Combine like terms: -4 + 4 = 0 0 + 30w = -14 + 4 30w = -14 + 4 Combine like terms: -14 + 4 = -10 30w = -10 Divide each side by '30'. w = -0.3333333333 Simplifying w = -0.3333333333
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