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Simplifying 4(6z + 5) + -3(2z + -3) = 61 Reorder the terms: 4(5 + 6z) + -3(2z + -3) = 61 (5 * 4 + 6z * 4) + -3(2z + -3) = 61 (20 + 24z) + -3(2z + -3) = 61 Reorder the terms: 20 + 24z + -3(-3 + 2z) = 61 20 + 24z + (-3 * -3 + 2z * -3) = 61 20 + 24z + (9 + -6z) = 61 Reorder the terms: 20 + 9 + 24z + -6z = 61 Combine like terms: 20 + 9 = 29 29 + 24z + -6z = 61 Combine like terms: 24z + -6z = 18z 29 + 18z = 61 Solving 29 + 18z = 61 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-29' to each side of the equation. 29 + -29 + 18z = 61 + -29 Combine like terms: 29 + -29 = 0 0 + 18z = 61 + -29 18z = 61 + -29 Combine like terms: 61 + -29 = 32 18z = 32 Divide each side by '18'. z = 1.777777778 Simplifying z = 1.777777778
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