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Simplifying 4[1z + 3(1z + -1)] = 36 Reorder the terms: 4[1z + 3(-1 + 1z)] = 36 4[1z + (-1 * 3 + 1z * 3)] = 36 4[1z + (-3 + 3z)] = 36 Reorder the terms: 4[-3 + 1z + 3z] = 36 Combine like terms: 1z + 3z = 4z 4[-3 + 4z] = 36 [-3 * 4 + 4z * 4] = 36 [-12 + 16z] = 36 Solving -12 + 16z = 36 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 + 16z = 36 + 12 Combine like terms: -12 + 12 = 0 0 + 16z = 36 + 12 16z = 36 + 12 Combine like terms: 36 + 12 = 48 16z = 48 Divide each side by '16'. z = 3 Simplifying z = 3
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