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Simplifying 4(6z + -1) + -2(z + 2) = 11(z + 1) Reorder the terms: 4(-1 + 6z) + -2(z + 2) = 11(z + 1) (-1 * 4 + 6z * 4) + -2(z + 2) = 11(z + 1) (-4 + 24z) + -2(z + 2) = 11(z + 1) Reorder the terms: -4 + 24z + -2(2 + z) = 11(z + 1) -4 + 24z + (2 * -2 + z * -2) = 11(z + 1) -4 + 24z + (-4 + -2z) = 11(z + 1) Reorder the terms: -4 + -4 + 24z + -2z = 11(z + 1) Combine like terms: -4 + -4 = -8 -8 + 24z + -2z = 11(z + 1) Combine like terms: 24z + -2z = 22z -8 + 22z = 11(z + 1) Reorder the terms: -8 + 22z = 11(1 + z) -8 + 22z = (1 * 11 + z * 11) -8 + 22z = (11 + 11z) Solving -8 + 22z = 11 + 11z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-11z' to each side of the equation. -8 + 22z + -11z = 11 + 11z + -11z Combine like terms: 22z + -11z = 11z -8 + 11z = 11 + 11z + -11z Combine like terms: 11z + -11z = 0 -8 + 11z = 11 + 0 -8 + 11z = 11 Add '8' to each side of the equation. -8 + 8 + 11z = 11 + 8 Combine like terms: -8 + 8 = 0 0 + 11z = 11 + 8 11z = 11 + 8 Combine like terms: 11 + 8 = 19 11z = 19 Divide each side by '11'. z = 1.727272727 Simplifying z = 1.727272727
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