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Simplifying 4[z + 3(z + -1)] = 3 Reorder the terms: 4[z + 3(-1 + z)] = 3 4[z + (-1 * 3 + z * 3)] = 3 4[z + (-3 + 3z)] = 3 Reorder the terms: 4[-3 + z + 3z] = 3 Combine like terms: z + 3z = 4z 4[-3 + 4z] = 3 [-3 * 4 + 4z * 4] = 3 [-12 + 16z] = 3 Solving -12 + 16z = 3 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 = 3 + 12 Combine like terms: -12 + 12 = 0 0 + 16z = 3 + 12 16z = 3 + 12 Combine like terms: 3 + 12 = 15 16z = 15 Divide each side by '16'. z = 0.9375 Simplifying z = 0.9375
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