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Simplifying 4w + -2(1[2z + -4w] * 1) + -4z = 0 Reorder the terms: 4w + -2(1[-4w + 2z] * 1) + -4z = 0 Reorder the terms for easier multiplication: 4w + -2(1 * 1[-4w + 2z]) + -4z = 0 Multiply 1 * 1 4w + -2(1[-4w + 2z]) + -4z = 0 4w + -2([-4w * 1 + 2z * 1]) + -4z = 0 4w + -2([-4w + 2z]) + -4z = 0 4w + (-4w * -2 + 2z * -2) + -4z = 0 4w + (8w + -4z) + -4z = 0 Combine like terms: 4w + 8w = 12w 12w + -4z + -4z = 0 Combine like terms: -4z + -4z = -8z 12w + -8z = 0 Solving 12w + -8z = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '8z' to each side of the equation. 12w + -8z + 8z = 0 + 8z Combine like terms: -8z + 8z = 0 12w + 0 = 0 + 8z 12w = 0 + 8z Remove the zero: 12w = 8z Divide each side by '12'. w = 0.6666666667z Simplifying w = 0.6666666667z
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