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Simplifying z + -7 + -9(z + -5) + 5(7z + 1) = 0 Reorder the terms: z + -7 + -9(-5 + z) + 5(7z + 1) = 0 z + -7 + (-5 * -9 + z * -9) + 5(7z + 1) = 0 z + -7 + (45 + -9z) + 5(7z + 1) = 0 Reorder the terms: z + -7 + 45 + -9z + 5(1 + 7z) = 0 z + -7 + 45 + -9z + (1 * 5 + 7z * 5) = 0 z + -7 + 45 + -9z + (5 + 35z) = 0 Reorder the terms: -7 + 45 + 5 + z + -9z + 35z = 0 Combine like terms: -7 + 45 = 38 38 + 5 + z + -9z + 35z = 0 Combine like terms: 38 + 5 = 43 43 + z + -9z + 35z = 0 Combine like terms: z + -9z = -8z 43 + -8z + 35z = 0 Combine like terms: -8z + 35z = 27z 43 + 27z = 0 Solving 43 + 27z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-43' to each side of the equation. 43 + -43 + 27z = 0 + -43 Combine like terms: 43 + -43 = 0 0 + 27z = 0 + -43 27z = 0 + -43 Combine like terms: 0 + -43 = -43 27z = -43 Divide each side by '27'. z = -1.592592593 Simplifying z = -1.592592593
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