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Simplifying 4[z + 3(z + 1)] = 36 Reorder the terms: 4[z + 3(1 + z)] = 36 4[z + (1 * 3 + z * 3)] = 36 4[z + (3 + 3z)] = 36 Reorder the terms: 4[3 + z + 3z] = 36 Combine like terms: z + 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 = 24 16z = 24 Divide each side by '16'. z = 1.5 Simplifying z = 1.5
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