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Simplifying 4(z + 1) + 3(3z + 6) = 36 Reorder the terms: 4(1 + z) + 3(3z + 6) = 36 (1 * 4 + z * 4) + 3(3z + 6) = 36 (4 + 4z) + 3(3z + 6) = 36 Reorder the terms: 4 + 4z + 3(6 + 3z) = 36 4 + 4z + (6 * 3 + 3z * 3) = 36 4 + 4z + (18 + 9z) = 36 Reorder the terms: 4 + 18 + 4z + 9z = 36 Combine like terms: 4 + 18 = 22 22 + 4z + 9z = 36 Combine like terms: 4z + 9z = 13z 22 + 13z = 36 Solving 22 + 13z = 36 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + 13z = 36 + -22 Combine like terms: 22 + -22 = 0 0 + 13z = 36 + -22 13z = 36 + -22 Combine like terms: 36 + -22 = 14 13z = 14 Divide each side by '13'. z = 1.076923077 Simplifying z = 1.076923077
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