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Simplifying 3(-4w + -1z) + -4(-6z + 5w) = 0 (-4w * 3 + -1z * 3) + -4(-6z + 5w) = 0 (-12w + -3z) + -4(-6z + 5w) = 0 Reorder the terms: -12w + -3z + -4(5w + -6z) = 0 -12w + -3z + (5w * -4 + -6z * -4) = 0 -12w + -3z + (-20w + 24z) = 0 Reorder the terms: -12w + -20w + -3z + 24z = 0 Combine like terms: -12w + -20w = -32w -32w + -3z + 24z = 0 Combine like terms: -3z + 24z = 21z -32w + 21z = 0 Solving -32w + 21z = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-21z' to each side of the equation. -32w + 21z + -21z = 0 + -21z Combine like terms: 21z + -21z = 0 -32w + 0 = 0 + -21z -32w = 0 + -21z Remove the zero: -32w = -21z Divide each side by '-32'. w = 0.65625z Simplifying w = 0.65625z
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