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Simplifying -1[10z + -1(15z + 3)] = 3 + 94z + 0 Reorder the terms: -1[10z + -1(3 + 15z)] = 3 + 94z + 0 -1[10z + (3 * -1 + 15z * -1)] = 3 + 94z + 0 -1[10z + (-3 + -15z)] = 3 + 94z + 0 Reorder the terms: -1[-3 + 10z + -15z] = 3 + 94z + 0 Combine like terms: 10z + -15z = -5z -1[-3 + -5z] = 3 + 94z + 0 [-3 * -1 + -5z * -1] = 3 + 94z + 0 [3 + 5z] = 3 + 94z + 0 Reorder the terms: 3 + 5z = 3 + 0 + 94z Combine like terms: 3 + 0 = 3 3 + 5z = 3 + 94z Add '-3' to each side of the equation. 3 + -3 + 5z = 3 + -3 + 94z Combine like terms: 3 + -3 = 0 0 + 5z = 3 + -3 + 94z 5z = 3 + -3 + 94z Combine like terms: 3 + -3 = 0 5z = 0 + 94z 5z = 94z Solving 5z = 94z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-94z' to each side of the equation. 5z + -94z = 94z + -94z Combine like terms: 5z + -94z = -89z -89z = 94z + -94z Combine like terms: 94z + -94z = 0 -89z = 0 Divide each side by '-89'. z = 0 Simplifying z = 0
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