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Simplifying 9 + 3(z + -3) = -3z + 1 Reorder the terms: 9 + 3(-3 + z) = -3z + 1 9 + (-3 * 3 + z * 3) = -3z + 1 9 + (-9 + 3z) = -3z + 1 Combine like terms: 9 + -9 = 0 0 + 3z = -3z + 1 3z = -3z + 1 Reorder the terms: 3z = 1 + -3z Solving 3z = 1 + -3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '3z' to each side of the equation. 3z + 3z = 1 + -3z + 3z Combine like terms: 3z + 3z = 6z 6z = 1 + -3z + 3z Combine like terms: -3z + 3z = 0 6z = 1 + 0 6z = 1 Divide each side by '6'. z = 0.1666666667 Simplifying z = 0.1666666667
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