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Simplifying 2(z + 7) + -1(3 + -9z) = 10z Reorder the terms: 2(7 + z) + -1(3 + -9z) = 10z (7 * 2 + z * 2) + -1(3 + -9z) = 10z (14 + 2z) + -1(3 + -9z) = 10z 14 + 2z + (3 * -1 + -9z * -1) = 10z 14 + 2z + (-3 + 9z) = 10z Reorder the terms: 14 + -3 + 2z + 9z = 10z Combine like terms: 14 + -3 = 11 11 + 2z + 9z = 10z Combine like terms: 2z + 9z = 11z 11 + 11z = 10z Solving 11 + 11z = 10z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-10z' to each side of the equation. 11 + 11z + -10z = 10z + -10z Combine like terms: 11z + -10z = 1z 11 + 1z = 10z + -10z Combine like terms: 10z + -10z = 0 11 + 1z = 0 Add '-11' to each side of the equation. 11 + -11 + 1z = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 1z = 0 + -11 1z = 0 + -11 Combine like terms: 0 + -11 = -11 1z = -11 Divide each side by '1'. z = -11 Simplifying z = -11
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