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Simplifying -7(-9 + -5z) + -6z = 0 (-9 * -7 + -5z * -7) + -6z = 0 (63 + 35z) + -6z = 0 Combine like terms: 35z + -6z = 29z 63 + 29z = 0 Solving 63 + 29z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-63' to each side of the equation. 63 + -63 + 29z = 0 + -63 Combine like terms: 63 + -63 = 0 0 + 29z = 0 + -63 29z = 0 + -63 Combine like terms: 0 + -63 = -63 29z = -63 Divide each side by '29'. z = -2.172413793 Simplifying z = -2.172413793
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