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Simplifying 3(6z + -1) + -4(z + 6) = 9(z + 1) Reorder the terms: 3(-1 + 6z) + -4(z + 6) = 9(z + 1) (-1 * 3 + 6z * 3) + -4(z + 6) = 9(z + 1) (-3 + 18z) + -4(z + 6) = 9(z + 1) Reorder the terms: -3 + 18z + -4(6 + z) = 9(z + 1) -3 + 18z + (6 * -4 + z * -4) = 9(z + 1) -3 + 18z + (-24 + -4z) = 9(z + 1) Reorder the terms: -3 + -24 + 18z + -4z = 9(z + 1) Combine like terms: -3 + -24 = -27 -27 + 18z + -4z = 9(z + 1) Combine like terms: 18z + -4z = 14z -27 + 14z = 9(z + 1) Reorder the terms: -27 + 14z = 9(1 + z) -27 + 14z = (1 * 9 + z * 9) -27 + 14z = (9 + 9z) Solving -27 + 14z = 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. -27 + 14z + -9z = 9 + 9z + -9z Combine like terms: 14z + -9z = 5z -27 + 5z = 9 + 9z + -9z Combine like terms: 9z + -9z = 0 -27 + 5z = 9 + 0 -27 + 5z = 9 Add '27' to each side of the equation. -27 + 27 + 5z = 9 + 27 Combine like terms: -27 + 27 = 0 0 + 5z = 9 + 27 5z = 9 + 27 Combine like terms: 9 + 27 = 36 5z = 36 Divide each side by '5'. z = 7.2 Simplifying z = 7.2
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