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Simplifying 9(z + -1) + -2 + -2(3z + 4) = 7 Reorder the terms: 9(-1 + z) + -2 + -2(3z + 4) = 7 (-1 * 9 + z * 9) + -2 + -2(3z + 4) = 7 (-9 + 9z) + -2 + -2(3z + 4) = 7 Reorder the terms: -9 + 9z + -2 + -2(4 + 3z) = 7 -9 + 9z + -2 + (4 * -2 + 3z * -2) = 7 -9 + 9z + -2 + (-8 + -6z) = 7 Reorder the terms: -9 + -2 + -8 + 9z + -6z = 7 Combine like terms: -9 + -2 = -11 -11 + -8 + 9z + -6z = 7 Combine like terms: -11 + -8 = -19 -19 + 9z + -6z = 7 Combine like terms: 9z + -6z = 3z -19 + 3z = 7 Solving -19 + 3z = 7 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 + 3z = 7 + 19 Combine like terms: -19 + 19 = 0 0 + 3z = 7 + 19 3z = 7 + 19 Combine like terms: 7 + 19 = 26 3z = 26 Divide each side by '3'. z = 8.666666667 Simplifying z = 8.666666667
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