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Simplifying 3(4z + 7) + -2(z + -1) = 0 Reorder the terms: 3(7 + 4z) + -2(z + -1) = 0 (7 * 3 + 4z * 3) + -2(z + -1) = 0 (21 + 12z) + -2(z + -1) = 0 Reorder the terms: 21 + 12z + -2(-1 + z) = 0 21 + 12z + (-1 * -2 + z * -2) = 0 21 + 12z + (2 + -2z) = 0 Reorder the terms: 21 + 2 + 12z + -2z = 0 Combine like terms: 21 + 2 = 23 23 + 12z + -2z = 0 Combine like terms: 12z + -2z = 10z 23 + 10z = 0 Solving 23 + 10z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + 10z = 0 + -23 Combine like terms: 23 + -23 = 0 0 + 10z = 0 + -23 10z = 0 + -23 Combine like terms: 0 + -23 = -23 10z = -23 Divide each side by '10'. z = -2.3 Simplifying z = -2.3
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