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Simplifying 7[9 + -7(8 + -1z)] + -9 = 0 7[9 + (8 * -7 + -1z * -7)] + -9 = 0 7[9 + (-56 + 7z)] + -9 = 0 Combine like terms: 9 + -56 = -47 7[-47 + 7z] + -9 = 0 [-47 * 7 + 7z * 7] + -9 = 0 [-329 + 49z] + -9 = 0 Reorder the terms: -329 + -9 + 49z = 0 Combine like terms: -329 + -9 = -338 -338 + 49z = 0 Solving -338 + 49z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '338' to each side of the equation. -338 + 338 + 49z = 0 + 338 Combine like terms: -338 + 338 = 0 0 + 49z = 0 + 338 49z = 0 + 338 Combine like terms: 0 + 338 = 338 49z = 338 Divide each side by '49'. z = 6.897959184 Simplifying z = 6.897959184
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