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Simplifying 8(z + 7) = 1 + 9z Reorder the terms: 8(7 + z) = 1 + 9z (7 * 8 + z * 8) = 1 + 9z (56 + 8z) = 1 + 9z Solving 56 + 8z = 1 + 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. 56 + 8z + -9z = 1 + 9z + -9z Combine like terms: 8z + -9z = -1z 56 + -1z = 1 + 9z + -9z Combine like terms: 9z + -9z = 0 56 + -1z = 1 + 0 56 + -1z = 1 Add '-56' to each side of the equation. 56 + -56 + -1z = 1 + -56 Combine like terms: 56 + -56 = 0 0 + -1z = 1 + -56 -1z = 1 + -56 Combine like terms: 1 + -56 = -55 -1z = -55 Divide each side by '-1'. z = 55 Simplifying z = 55
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