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Simplifying 3(18z + -4w) + 2(10z + -6w) = 0 Reorder the terms: 3(-4w + 18z) + 2(10z + -6w) = 0 (-4w * 3 + 18z * 3) + 2(10z + -6w) = 0 (-12w + 54z) + 2(10z + -6w) = 0 Reorder the terms: -12w + 54z + 2(-6w + 10z) = 0 -12w + 54z + (-6w * 2 + 10z * 2) = 0 -12w + 54z + (-12w + 20z) = 0 Reorder the terms: -12w + -12w + 54z + 20z = 0 Combine like terms: -12w + -12w = -24w -24w + 54z + 20z = 0 Combine like terms: 54z + 20z = 74z -24w + 74z = 0 Solving -24w + 74z = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-74z' to each side of the equation. -24w + 74z + -74z = 0 + -74z Combine like terms: 74z + -74z = 0 -24w + 0 = 0 + -74z -24w = 0 + -74z Remove the zero: -24w = -74z Divide each side by '-24'. w = 3.083333333z Simplifying w = 3.083333333z
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