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Simplifying 4(6z + -1) + -4(z + 9) = 9(z + 1) Reorder the terms: 4(-1 + 6z) + -4(z + 9) = 9(z + 1) (-1 * 4 + 6z * 4) + -4(z + 9) = 9(z + 1) (-4 + 24z) + -4(z + 9) = 9(z + 1) Reorder the terms: -4 + 24z + -4(9 + z) = 9(z + 1) -4 + 24z + (9 * -4 + z * -4) = 9(z + 1) -4 + 24z + (-36 + -4z) = 9(z + 1) Reorder the terms: -4 + -36 + 24z + -4z = 9(z + 1) Combine like terms: -4 + -36 = -40 -40 + 24z + -4z = 9(z + 1) Combine like terms: 24z + -4z = 20z -40 + 20z = 9(z + 1) Reorder the terms: -40 + 20z = 9(1 + z) -40 + 20z = (1 * 9 + z * 9) -40 + 20z = (9 + 9z) Solving -40 + 20z = 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. -40 + 20z + -9z = 9 + 9z + -9z Combine like terms: 20z + -9z = 11z -40 + 11z = 9 + 9z + -9z Combine like terms: 9z + -9z = 0 -40 + 11z = 9 + 0 -40 + 11z = 9 Add '40' to each side of the equation. -40 + 40 + 11z = 9 + 40 Combine like terms: -40 + 40 = 0 0 + 11z = 9 + 40 11z = 9 + 40 Combine like terms: 9 + 40 = 49 11z = 49 Divide each side by '11'. z = 4.454545455 Simplifying z = 4.454545455
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