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Simplifying 9(z + -1) + -2(3z + 4) = 5 Reorder the terms: 9(-1 + z) + -2(3z + 4) = 5 (-1 * 9 + z * 9) + -2(3z + 4) = 5 (-9 + 9z) + -2(3z + 4) = 5 Reorder the terms: -9 + 9z + -2(4 + 3z) = 5 -9 + 9z + (4 * -2 + 3z * -2) = 5 -9 + 9z + (-8 + -6z) = 5 Reorder the terms: -9 + -8 + 9z + -6z = 5 Combine like terms: -9 + -8 = -17 -17 + 9z + -6z = 5 Combine like terms: 9z + -6z = 3z -17 + 3z = 5 Solving -17 + 3z = 5 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + 3z = 5 + 17 Combine like terms: -17 + 17 = 0 0 + 3z = 5 + 17 3z = 5 + 17 Combine like terms: 5 + 17 = 22 3z = 22 Divide each side by '3'. z = 7.333333333 Simplifying z = 7.333333333
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