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Simplifying 5(z + 6) + -1z = 9z Reorder the terms: 5(6 + z) + -1z = 9z (6 * 5 + z * 5) + -1z = 9z (30 + 5z) + -1z = 9z Combine like terms: 5z + -1z = 4z 30 + 4z = 9z Solving 30 + 4z = 9z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-9z' to each side of the equation. 30 + 4z + -9z = 9z + -9z Combine like terms: 4z + -9z = -5z 30 + -5z = 9z + -9z Combine like terms: 9z + -9z = 0 30 + -5z = 0 Add '-30' to each side of the equation. 30 + -30 + -5z = 0 + -30 Combine like terms: 30 + -30 = 0 0 + -5z = 0 + -30 -5z = 0 + -30 Combine like terms: 0 + -30 = -30 -5z = -30 Divide each side by '-5'. z = 6 Simplifying z = 6
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