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Simplifying 6(4z + -1) + -5(2 + 6) = 17(2 + 1) Reorder the terms: 6(-1 + 4z) + -5(2 + 6) = 17(2 + 1) (-1 * 6 + 4z * 6) + -5(2 + 6) = 17(2 + 1) (-6 + 24z) + -5(2 + 6) = 17(2 + 1) Combine like terms: 2 + 6 = 8 -6 + 24z + -5(8) = 17(2 + 1) Multiply -5 * 8 -6 + 24z + -40 = 17(2 + 1) Reorder the terms: -6 + -40 + 24z = 17(2 + 1) Combine like terms: -6 + -40 = -46 -46 + 24z = 17(2 + 1) Combine like terms: 2 + 1 = 3 -46 + 24z = 17(3) Multiply 17 * 3 -46 + 24z = 51 Solving -46 + 24z = 51 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '46' to each side of the equation. -46 + 46 + 24z = 51 + 46 Combine like terms: -46 + 46 = 0 0 + 24z = 51 + 46 24z = 51 + 46 Combine like terms: 51 + 46 = 97 24z = 97 Divide each side by '24'. z = 4.041666667 Simplifying z = 4.041666667
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