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Simplifying 10z + 7(3z + 14) = -2 + 11z Reorder the terms: 10z + 7(14 + 3z) = -2 + 11z 10z + (14 * 7 + 3z * 7) = -2 + 11z 10z + (98 + 21z) = -2 + 11z Reorder the terms: 98 + 10z + 21z = -2 + 11z Combine like terms: 10z + 21z = 31z 98 + 31z = -2 + 11z Solving 98 + 31z = -2 + 11z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-11z' to each side of the equation. 98 + 31z + -11z = -2 + 11z + -11z Combine like terms: 31z + -11z = 20z 98 + 20z = -2 + 11z + -11z Combine like terms: 11z + -11z = 0 98 + 20z = -2 + 0 98 + 20z = -2 Add '-98' to each side of the equation. 98 + -98 + 20z = -2 + -98 Combine like terms: 98 + -98 = 0 0 + 20z = -2 + -98 20z = -2 + -98 Combine like terms: -2 + -98 = -100 20z = -100 Divide each side by '20'. z = -5 Simplifying z = -5
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