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Simplifying -12z + 4(z + -9) + 30 + z = 0 Reorder the terms: -12z + 4(-9 + z) + 30 + z = 0 -12z + (-9 * 4 + z * 4) + 30 + z = 0 -12z + (-36 + 4z) + 30 + z = 0 Reorder the terms: -36 + 30 + -12z + 4z + z = 0 Combine like terms: -36 + 30 = -6 -6 + -12z + 4z + z = 0 Combine like terms: -12z + 4z = -8z -6 + -8z + z = 0 Combine like terms: -8z + z = -7z -6 + -7z = 0 Solving -6 + -7z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -7z = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -7z = 0 + 6 -7z = 0 + 6 Combine like terms: 0 + 6 = 6 -7z = 6 Divide each side by '-7'. z = -0.8571428571 Simplifying z = -0.8571428571
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