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Simplifying -9 + 6(1 + -7z) = -34 -9 + (1 * 6 + -7z * 6) = -34 -9 + (6 + -42z) = -34 Combine like terms: -9 + 6 = -3 -3 + -42z = -34 Solving -3 + -42z = -34 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -42z = -34 + 3 Combine like terms: -3 + 3 = 0 0 + -42z = -34 + 3 -42z = -34 + 3 Combine like terms: -34 + 3 = -31 -42z = -31 Divide each side by '-42'. z = 0.7380952381 Simplifying z = 0.7380952381
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