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Simplifying 8 + -7(1 + 9z) = -31 8 + (1 * -7 + 9z * -7) = -31 8 + (-7 + -63z) = -31 Combine like terms: 8 + -7 = 1 1 + -63z = -31 Solving 1 + -63z = -31 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -63z = -31 + -1 Combine like terms: 1 + -1 = 0 0 + -63z = -31 + -1 -63z = -31 + -1 Combine like terms: -31 + -1 = -32 -63z = -32 Divide each side by '-63'. z = 0.5079365079 Simplifying z = 0.5079365079
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