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Simplifying 3(6z + -1) + -4(z + 9) = 3z + 1 Reorder the terms: 3(-1 + 6z) + -4(z + 9) = 3z + 1 (-1 * 3 + 6z * 3) + -4(z + 9) = 3z + 1 (-3 + 18z) + -4(z + 9) = 3z + 1 Reorder the terms: -3 + 18z + -4(9 + z) = 3z + 1 -3 + 18z + (9 * -4 + z * -4) = 3z + 1 -3 + 18z + (-36 + -4z) = 3z + 1 Reorder the terms: -3 + -36 + 18z + -4z = 3z + 1 Combine like terms: -3 + -36 = -39 -39 + 18z + -4z = 3z + 1 Combine like terms: 18z + -4z = 14z -39 + 14z = 3z + 1 Reorder the terms: -39 + 14z = 1 + 3z Solving -39 + 14z = 1 + 3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3z' to each side of the equation. -39 + 14z + -3z = 1 + 3z + -3z Combine like terms: 14z + -3z = 11z -39 + 11z = 1 + 3z + -3z Combine like terms: 3z + -3z = 0 -39 + 11z = 1 + 0 -39 + 11z = 1 Add '39' to each side of the equation. -39 + 39 + 11z = 1 + 39 Combine like terms: -39 + 39 = 0 0 + 11z = 1 + 39 11z = 1 + 39 Combine like terms: 1 + 39 = 40 11z = 40 Divide each side by '11'. z = 3.636363636 Simplifying z = 3.636363636
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