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Simplifying 9 + 3(z + -3) = -4z + 3 Reorder the terms: 9 + 3(-3 + z) = -4z + 3 9 + (-3 * 3 + z * 3) = -4z + 3 9 + (-9 + 3z) = -4z + 3 Combine like terms: 9 + -9 = 0 0 + 3z = -4z + 3 3z = -4z + 3 Reorder the terms: 3z = 3 + -4z Solving 3z = 3 + -4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '4z' to each side of the equation. 3z + 4z = 3 + -4z + 4z Combine like terms: 3z + 4z = 7z 7z = 3 + -4z + 4z Combine like terms: -4z + 4z = 0 7z = 3 + 0 7z = 3 Divide each side by '7'. z = 0.4285714286 Simplifying z = 0.4285714286
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