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Simplifying 6(4z + -1) + -2(z + 9) = 9(z + 1) Reorder the terms: 6(-1 + 4z) + -2(z + 9) = 9(z + 1) (-1 * 6 + 4z * 6) + -2(z + 9) = 9(z + 1) (-6 + 24z) + -2(z + 9) = 9(z + 1) Reorder the terms: -6 + 24z + -2(9 + z) = 9(z + 1) -6 + 24z + (9 * -2 + z * -2) = 9(z + 1) -6 + 24z + (-18 + -2z) = 9(z + 1) Reorder the terms: -6 + -18 + 24z + -2z = 9(z + 1) Combine like terms: -6 + -18 = -24 -24 + 24z + -2z = 9(z + 1) Combine like terms: 24z + -2z = 22z -24 + 22z = 9(z + 1) Reorder the terms: -24 + 22z = 9(1 + z) -24 + 22z = (1 * 9 + z * 9) -24 + 22z = (9 + 9z) Solving -24 + 22z = 9 + 9z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-9z' to each side of the equation. -24 + 22z + -9z = 9 + 9z + -9z Combine like terms: 22z + -9z = 13z -24 + 13z = 9 + 9z + -9z Combine like terms: 9z + -9z = 0 -24 + 13z = 9 + 0 -24 + 13z = 9 Add '24' to each side of the equation. -24 + 24 + 13z = 9 + 24 Combine like terms: -24 + 24 = 0 0 + 13z = 9 + 24 13z = 9 + 24 Combine like terms: 9 + 24 = 33 13z = 33 Divide each side by '13'. z = 2.538461538 Simplifying z = 2.538461538
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