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Simplifying 6(4z + -1) + -2(z + 8) = 9(z + 1) Reorder the terms: 6(-1 + 4z) + -2(z + 8) = 9(z + 1) (-1 * 6 + 4z * 6) + -2(z + 8) = 9(z + 1) (-6 + 24z) + -2(z + 8) = 9(z + 1) Reorder the terms: -6 + 24z + -2(8 + z) = 9(z + 1) -6 + 24z + (8 * -2 + z * -2) = 9(z + 1) -6 + 24z + (-16 + -2z) = 9(z + 1) Reorder the terms: -6 + -16 + 24z + -2z = 9(z + 1) Combine like terms: -6 + -16 = -22 -22 + 24z + -2z = 9(z + 1) Combine like terms: 24z + -2z = 22z -22 + 22z = 9(z + 1) Reorder the terms: -22 + 22z = 9(1 + z) -22 + 22z = (1 * 9 + z * 9) -22 + 22z = (9 + 9z) Solving -22 + 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. -22 + 22z + -9z = 9 + 9z + -9z Combine like terms: 22z + -9z = 13z -22 + 13z = 9 + 9z + -9z Combine like terms: 9z + -9z = 0 -22 + 13z = 9 + 0 -22 + 13z = 9 Add '22' to each side of the equation. -22 + 22 + 13z = 9 + 22 Combine like terms: -22 + 22 = 0 0 + 13z = 9 + 22 13z = 9 + 22 Combine like terms: 9 + 22 = 31 13z = 31 Divide each side by '13'. z = 2.384615385 Simplifying z = 2.384615385
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