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Simplifying 3(6z + -1) + -4(z + 5) = 11(z + 1) Reorder the terms: 3(-1 + 6z) + -4(z + 5) = 11(z + 1) (-1 * 3 + 6z * 3) + -4(z + 5) = 11(z + 1) (-3 + 18z) + -4(z + 5) = 11(z + 1) Reorder the terms: -3 + 18z + -4(5 + z) = 11(z + 1) -3 + 18z + (5 * -4 + z * -4) = 11(z + 1) -3 + 18z + (-20 + -4z) = 11(z + 1) Reorder the terms: -3 + -20 + 18z + -4z = 11(z + 1) Combine like terms: -3 + -20 = -23 -23 + 18z + -4z = 11(z + 1) Combine like terms: 18z + -4z = 14z -23 + 14z = 11(z + 1) Reorder the terms: -23 + 14z = 11(1 + z) -23 + 14z = (1 * 11 + z * 11) -23 + 14z = (11 + 11z) Solving -23 + 14z = 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. -23 + 14z + -11z = 11 + 11z + -11z Combine like terms: 14z + -11z = 3z -23 + 3z = 11 + 11z + -11z Combine like terms: 11z + -11z = 0 -23 + 3z = 11 + 0 -23 + 3z = 11 Add '23' to each side of the equation. -23 + 23 + 3z = 11 + 23 Combine like terms: -23 + 23 = 0 0 + 3z = 11 + 23 3z = 11 + 23 Combine like terms: 11 + 23 = 34 3z = 34 Divide each side by '3'. z = 11.33333333 Simplifying z = 11.33333333
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