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Simplifying 12w + 15z + -9 + 5 = -3w + 5 + -9 Reorder the terms: -9 + 5 + 12w + 15z = -3w + 5 + -9 Combine like terms: -9 + 5 = -4 -4 + 12w + 15z = -3w + 5 + -9 Reorder the terms: -4 + 12w + 15z = 5 + -9 + -3w Combine like terms: 5 + -9 = -4 -4 + 12w + 15z = -4 + -3w Add '4' to each side of the equation. -4 + 12w + 4 + 15z = -4 + 4 + -3w Reorder the terms: -4 + 4 + 12w + 15z = -4 + 4 + -3w Combine like terms: -4 + 4 = 0 0 + 12w + 15z = -4 + 4 + -3w 12w + 15z = -4 + 4 + -3w Combine like terms: -4 + 4 = 0 12w + 15z = 0 + -3w 12w + 15z = -3w Solving 12w + 15z = -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. 12w + 3w + 15z = -3w + 3w Combine like terms: 12w + 3w = 15w 15w + 15z = -3w + 3w Combine like terms: -3w + 3w = 0 15w + 15z = 0 Add '-15z' to each side of the equation. 15w + 15z + -15z = 0 + -15z Combine like terms: 15z + -15z = 0 15w + 0 = 0 + -15z 15w = 0 + -15z Remove the zero: 15w = -15z Divide each side by '15'. w = -1z Simplifying w = -1z
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