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Simplifying -6 + -5(1 + -7z) = -27 -6 + (1 * -5 + -7z * -5) = -27 -6 + (-5 + 35z) = -27 Combine like terms: -6 + -5 = -11 -11 + 35z = -27 Solving -11 + 35z = -27 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + 35z = -27 + 11 Combine like terms: -11 + 11 = 0 0 + 35z = -27 + 11 35z = -27 + 11 Combine like terms: -27 + 11 = -16 35z = -16 Divide each side by '35'. z = -0.4571428571 Simplifying z = -0.4571428571
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