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Simplifying 10z + -1(7 + 6Z) = 3Z + 82 10z + (7 * -1 + 6Z * -1) = 3Z + 82 10z + (-7 + -6Z) = 3Z + 82 Reorder the terms: -7 + -6Z + 10z = 3Z + 82 Reorder the terms: -7 + -6Z + 10z = 82 + 3Z Solving -7 + -6Z + 10z = 82 + 3Z Solving for variable 'Z'. Move all terms containing Z to the left, all other terms to the right. Add '-3Z' to each side of the equation. -7 + -6Z + -3Z + 10z = 82 + 3Z + -3Z Combine like terms: -6Z + -3Z = -9Z -7 + -9Z + 10z = 82 + 3Z + -3Z Combine like terms: 3Z + -3Z = 0 -7 + -9Z + 10z = 82 + 0 -7 + -9Z + 10z = 82 Add '7' to each side of the equation. -7 + -9Z + 7 + 10z = 82 + 7 Reorder the terms: -7 + 7 + -9Z + 10z = 82 + 7 Combine like terms: -7 + 7 = 0 0 + -9Z + 10z = 82 + 7 -9Z + 10z = 82 + 7 Combine like terms: 82 + 7 = 89 -9Z + 10z = 89 Add '-10z' to each side of the equation. -9Z + 10z + -10z = 89 + -10z Combine like terms: 10z + -10z = 0 -9Z + 0 = 89 + -10z -9Z = 89 + -10z Divide each side by '-9'. Z = -9.888888889 + 1.111111111z Simplifying Z = -9.888888889 + 1.111111111z
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