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Simplifying 3(-4w + -1z) + -6(-7z + -5w) = 0 (-4w * 3 + -1z * 3) + -6(-7z + -5w) = 0 (-12w + -3z) + -6(-7z + -5w) = 0 Reorder the terms: -12w + -3z + -6(-5w + -7z) = 0 -12w + -3z + (-5w * -6 + -7z * -6) = 0 -12w + -3z + (30w + 42z) = 0 Reorder the terms: -12w + 30w + -3z + 42z = 0 Combine like terms: -12w + 30w = 18w 18w + -3z + 42z = 0 Combine like terms: -3z + 42z = 39z 18w + 39z = 0 Solving 18w + 39z = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-39z' to each side of the equation. 18w + 39z + -39z = 0 + -39z Combine like terms: 39z + -39z = 0 18w + 0 = 0 + -39z 18w = 0 + -39z Remove the zero: 18w = -39z Divide each side by '18'. w = -2.166666667z Simplifying w = -2.166666667z
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