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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 = -4 -4 + 27w = -4 + 3w Add '4' to each side of the equation. -4 + 4 + 27w = -4 + 4 + 3w Combine like terms: -4 + 4 = 0 0 + 27w = -4 + 4 + 3w 27w = -4 + 4 + 3w Combine like terms: -4 + 4 = 0 27w = 0 + 3w 27w = 3w Solving 27w = 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. 27w + -3w = 3w + -3w Combine like terms: 27w + -3w = 24w 24w = 3w + -3w Combine like terms: 3w + -3w = 0 24w = 0 Divide each side by '24'. w = 0 Simplifying w = 0
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