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Simplifying 3z + 3q + -3w = 3(z + q + w) Reorder the terms: 3q + -3w + 3z = 3(z + q + w) Reorder the terms: 3q + -3w + 3z = 3(q + w + z) 3q + -3w + 3z = (q * 3 + w * 3 + z * 3) 3q + -3w + 3z = (3q + 3w + 3z) Add '-3q' to each side of the equation. 3q + -3w + -3q + 3z = 3q + 3w + -3q + 3z Reorder the terms: 3q + -3q + -3w + 3z = 3q + 3w + -3q + 3z Combine like terms: 3q + -3q = 0 0 + -3w + 3z = 3q + 3w + -3q + 3z -3w + 3z = 3q + 3w + -3q + 3z Reorder the terms: -3w + 3z = 3q + -3q + 3w + 3z Combine like terms: 3q + -3q = 0 -3w + 3z = 0 + 3w + 3z -3w + 3z = 3w + 3z Add '-3z' to each side of the equation. -3w + 3z + -3z = 3w + 3z + -3z Combine like terms: 3z + -3z = 0 -3w + 0 = 3w + 3z + -3z -3w = 3w + 3z + -3z Combine like terms: 3z + -3z = 0 -3w = 3w + 0 -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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