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