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Simplifying 12w + 0.15w + -9 + 5 = -3w + 5 + -9 Reorder the terms: -9 + 5 + 12w + 0.15w = -3w + 5 + -9 Combine like terms: -9 + 5 = -4 -4 + 12w + 0.15w = -3w + 5 + -9 Combine like terms: 12w + 0.15w = 12.15w -4 + 12.15w = -3w + 5 + -9 Reorder the terms: -4 + 12.15w = 5 + -9 + -3w Combine like terms: 5 + -9 = -4 -4 + 12.15w = -4 + -3w Add '4' to each side of the equation. -4 + 4 + 12.15w = -4 + 4 + -3w Combine like terms: -4 + 4 = 0 0 + 12.15w = -4 + 4 + -3w 12.15w = -4 + 4 + -3w Combine like terms: -4 + 4 = 0 12.15w = 0 + -3w 12.15w = -3w Solving 12.15w = -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. 12.15w + 3w = -3w + 3w Combine like terms: 12.15w + 3w = 15.15w 15.15w = -3w + 3w Combine like terms: -3w + 3w = 0 15.15w = 0 Divide each side by '15.15'. w = 0 Simplifying w = 0
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