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Simplifying 4w + -3(-4z + 4w) + -3z = 0 Reorder the terms: 4w + -3(4w + -4z) + -3z = 0 4w + (4w * -3 + -4z * -3) + -3z = 0 4w + (-12w + 12z) + -3z = 0 Combine like terms: 4w + -12w = -8w -8w + 12z + -3z = 0 Combine like terms: 12z + -3z = 9z -8w + 9z = 0 Solving -8w + 9z = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-9z' to each side of the equation. -8w + 9z + -9z = 0 + -9z Combine like terms: 9z + -9z = 0 -8w + 0 = 0 + -9z -8w = 0 + -9z Remove the zero: -8w = -9z Divide each side by '-8'. w = 1.125z Simplifying w = 1.125z
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