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Simplifying 4(6z + -1) + -5(z + 8) = 9(2 + 1) Reorder the terms: 4(-1 + 6z) + -5(z + 8) = 9(2 + 1) (-1 * 4 + 6z * 4) + -5(z + 8) = 9(2 + 1) (-4 + 24z) + -5(z + 8) = 9(2 + 1) Reorder the terms: -4 + 24z + -5(8 + z) = 9(2 + 1) -4 + 24z + (8 * -5 + z * -5) = 9(2 + 1) -4 + 24z + (-40 + -5z) = 9(2 + 1) Reorder the terms: -4 + -40 + 24z + -5z = 9(2 + 1) Combine like terms: -4 + -40 = -44 -44 + 24z + -5z = 9(2 + 1) Combine like terms: 24z + -5z = 19z -44 + 19z = 9(2 + 1) Combine like terms: 2 + 1 = 3 -44 + 19z = 9(3) Multiply 9 * 3 -44 + 19z = 27 Solving -44 + 19z = 27 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '44' to each side of the equation. -44 + 44 + 19z = 27 + 44 Combine like terms: -44 + 44 = 0 0 + 19z = 27 + 44 19z = 27 + 44 Combine like terms: 27 + 44 = 71 19z = 71 Divide each side by '19'. z = 3.736842105 Simplifying z = 3.736842105
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