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Simplifying 15(100 + -1(100 + -1.053571429z) + -1z) + (100 + -1.053571429z) + 0.25z = 100 15(100 + (100 * -1 + -1.053571429z * -1) + -1z) + (100 + -1.053571429z) + 0.25z = 100 15(100 + (-100 + 1.053571429z) + -1z) + (100 + -1.053571429z) + 0.25z = 100 Combine like terms: 100 + -100 = 0 15(0 + 1.053571429z + -1z) + (100 + -1.053571429z) + 0.25z = 100 15(1.053571429z + -1z) + (100 + -1.053571429z) + 0.25z = 100 Combine like terms: 1.053571429z + -1z = 0.053571429z 15(0.053571429z) + (100 + -1.053571429z) + 0.25z = 100 Remove parenthesis around (0.053571429z) 15 * 0.053571429z + (100 + -1.053571429z) + 0.25z = 100 Multiply 15 * 0.053571429 0.803571435z + (100 + -1.053571429z) + 0.25z = 100 Remove parenthesis around (100 + -1.053571429z) 0.803571435z + 100 + -1.053571429z + 0.25z = 100 Reorder the terms: 100 + 0.803571435z + -1.053571429z + 0.25z = 100 Combine like terms: 0.803571435z + -1.053571429z = -0.249999994z 100 + -0.249999994z + 0.25z = 100 Combine like terms: -0.249999994z + 0.25z = 0.000000006z 100 + 0.000000006z = 100 Add '-100' to each side of the equation. 100 + -100 + 0.000000006z = 100 + -100 Combine like terms: 100 + -100 = 0 0 + 0.000000006z = 100 + -100 0.000000006z = 100 + -100 Combine like terms: 100 + -100 = 0 0.000000006z = 0 Solving 0.000000006z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Divide each side by '0.000000006'. z = 0 Simplifying z = 0
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