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Simplifying 4(6z + -1) + -2(z + 5) = 11(z + 1) Reorder the terms: 4(-1 + 6z) + -2(z + 5) = 11(z + 1) (-1 * 4 + 6z * 4) + -2(z + 5) = 11(z + 1) (-4 + 24z) + -2(z + 5) = 11(z + 1) Reorder the terms: -4 + 24z + -2(5 + z) = 11(z + 1) -4 + 24z + (5 * -2 + z * -2) = 11(z + 1) -4 + 24z + (-10 + -2z) = 11(z + 1) Reorder the terms: -4 + -10 + 24z + -2z = 11(z + 1) Combine like terms: -4 + -10 = -14 -14 + 24z + -2z = 11(z + 1) Combine like terms: 24z + -2z = 22z -14 + 22z = 11(z + 1) Reorder the terms: -14 + 22z = 11(1 + z) -14 + 22z = (1 * 11 + z * 11) -14 + 22z = (11 + 11z) Solving -14 + 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. -14 + 22z + -11z = 11 + 11z + -11z Combine like terms: 22z + -11z = 11z -14 + 11z = 11 + 11z + -11z Combine like terms: 11z + -11z = 0 -14 + 11z = 11 + 0 -14 + 11z = 11 Add '14' to each side of the equation. -14 + 14 + 11z = 11 + 14 Combine like terms: -14 + 14 = 0 0 + 11z = 11 + 14 11z = 11 + 14 Combine like terms: 11 + 14 = 25 11z = 25 Divide each side by '11'. z = 2.272727273 Simplifying z = 2.272727273
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