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Simplifying -3w + -3(-4z + 6w) + 6z = 1 Reorder the terms: -3w + -3(6w + -4z) + 6z = 1 -3w + (6w * -3 + -4z * -3) + 6z = 1 -3w + (-18w + 12z) + 6z = 1 Combine like terms: -3w + -18w = -21w -21w + 12z + 6z = 1 Combine like terms: 12z + 6z = 18z -21w + 18z = 1 Solving -21w + 18z = 1 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. -21w + 18z + -18z = 1 + -18z Combine like terms: 18z + -18z = 0 -21w + 0 = 1 + -18z -21w = 1 + -18z Divide each side by '-21'. w = -0.04761904762 + 0.8571428571z Simplifying w = -0.04761904762 + 0.8571428571z
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