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Simplifying -3w + -3(-4z + 3w) + 6z = 0 Reorder the terms: -3w + -3(3w + -4z) + 6z = 0 -3w + (3w * -3 + -4z * -3) + 6z = 0 -3w + (-9w + 12z) + 6z = 0 Combine like terms: -3w + -9w = -12w -12w + 12z + 6z = 0 Combine like terms: 12z + 6z = 18z -12w + 18z = 0 Solving -12w + 18z = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-18z' to each side of the equation. -12w + 18z + -18z = 0 + -18z Combine like terms: 18z + -18z = 0 -12w + 0 = 0 + -18z -12w = 0 + -18z Remove the zero: -12w = -18z Divide each side by '-12'. w = 1.5z Simplifying w = 1.5z
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