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Simplifying 8(z + 7) = 1 Reorder the terms: 8(7 + z) = 1 (7 * 8 + z * 8) = 1 (56 + 8z) = 1 Solving 56 + 8z = 1 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-56' to each side of the equation. 56 + -56 + 8z = 1 + -56 Combine like terms: 56 + -56 = 0 0 + 8z = 1 + -56 8z = 1 + -56 Combine like terms: 1 + -56 = -55 8z = -55 Divide each side by '8'. z = -6.875 Simplifying z = -6.875
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