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Simplifying 4(6z + -1) + -2(z + 8) = 9(z + 1) Reorder the terms: 4(-1 + 6z) + -2(z + 8) = 9(z + 1) (-1 * 4 + 6z * 4) + -2(z + 8) = 9(z + 1) (-4 + 24z) + -2(z + 8) = 9(z + 1) Reorder the terms: -4 + 24z + -2(8 + z) = 9(z + 1) -4 + 24z + (8 * -2 + z * -2) = 9(z + 1) -4 + 24z + (-16 + -2z) = 9(z + 1) Reorder the terms: -4 + -16 + 24z + -2z = 9(z + 1) Combine like terms: -4 + -16 = -20 -20 + 24z + -2z = 9(z + 1) Combine like terms: 24z + -2z = 22z -20 + 22z = 9(z + 1) Reorder the terms: -20 + 22z = 9(1 + z) -20 + 22z = (1 * 9 + z * 9) -20 + 22z = (9 + 9z) Solving -20 + 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. -20 + 22z + -9z = 9 + 9z + -9z Combine like terms: 22z + -9z = 13z -20 + 13z = 9 + 9z + -9z Combine like terms: 9z + -9z = 0 -20 + 13z = 9 + 0 -20 + 13z = 9 Add '20' to each side of the equation. -20 + 20 + 13z = 9 + 20 Combine like terms: -20 + 20 = 0 0 + 13z = 9 + 20 13z = 9 + 20 Combine like terms: 9 + 20 = 29 13z = 29 Divide each side by '13'. z = 2.230769231 Simplifying z = 2.230769231
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