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