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Simplifying 2(6z + 5) + -3(2z + -3) = 61 Reorder the terms: 2(5 + 6z) + -3(2z + -3) = 61 (5 * 2 + 6z * 2) + -3(2z + -3) = 61 (10 + 12z) + -3(2z + -3) = 61 Reorder the terms: 10 + 12z + -3(-3 + 2z) = 61 10 + 12z + (-3 * -3 + 2z * -3) = 61 10 + 12z + (9 + -6z) = 61 Reorder the terms: 10 + 9 + 12z + -6z = 61 Combine like terms: 10 + 9 = 19 19 + 12z + -6z = 61 Combine like terms: 12z + -6z = 6z 19 + 6z = 61 Solving 19 + 6z = 61 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + 6z = 61 + -19 Combine like terms: 19 + -19 = 0 0 + 6z = 61 + -19 6z = 61 + -19 Combine like terms: 61 + -19 = 42 6z = 42 Divide each side by '6'. z = 7 Simplifying z = 7
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