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Simplifying z + -7 + -9(z + -5) + 5(72 + 1) = 0 Reorder the terms: z + -7 + -9(-5 + z) + 5(72 + 1) = 0 z + -7 + (-5 * -9 + z * -9) + 5(72 + 1) = 0 z + -7 + (45 + -9z) + 5(72 + 1) = 0 Combine like terms: 72 + 1 = 73 z + -7 + 45 + -9z + 5(73) = 0 Multiply 5 * 73 z + -7 + 45 + -9z + 365 = 0 Reorder the terms: -7 + 45 + 365 + z + -9z = 0 Combine like terms: -7 + 45 = 38 38 + 365 + z + -9z = 0 Combine like terms: 38 + 365 = 403 403 + z + -9z = 0 Combine like terms: z + -9z = -8z 403 + -8z = 0 Solving 403 + -8z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-403' to each side of the equation. 403 + -403 + -8z = 0 + -403 Combine like terms: 403 + -403 = 0 0 + -8z = 0 + -403 -8z = 0 + -403 Combine like terms: 0 + -403 = -403 -8z = -403 Divide each side by '-8'. z = 50.375 Simplifying z = 50.375
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