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Simplifying 10(z + 7) = 9z Reorder the terms: 10(7 + z) = 9z (7 * 10 + z * 10) = 9z (70 + 10z) = 9z Solving 70 + 10z = 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. 70 + 10z + -9z = 9z + -9z Combine like terms: 10z + -9z = 1z 70 + 1z = 9z + -9z Combine like terms: 9z + -9z = 0 70 + 1z = 0 Add '-70' to each side of the equation. 70 + -70 + 1z = 0 + -70 Combine like terms: 70 + -70 = 0 0 + 1z = 0 + -70 1z = 0 + -70 Combine like terms: 0 + -70 = -70 1z = -70 Divide each side by '1'. z = -70 Simplifying z = -70
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