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Simplifying 3(6z + -1) + -3(z + 1) = 11(z + 1) Reorder the terms: 3(-1 + 6z) + -3(z + 1) = 11(z + 1) (-1 * 3 + 6z * 3) + -3(z + 1) = 11(z + 1) (-3 + 18z) + -3(z + 1) = 11(z + 1) Reorder the terms: -3 + 18z + -3(1 + z) = 11(z + 1) -3 + 18z + (1 * -3 + z * -3) = 11(z + 1) -3 + 18z + (-3 + -3z) = 11(z + 1) Reorder the terms: -3 + -3 + 18z + -3z = 11(z + 1) Combine like terms: -3 + -3 = -6 -6 + 18z + -3z = 11(z + 1) Combine like terms: 18z + -3z = 15z -6 + 15z = 11(z + 1) Reorder the terms: -6 + 15z = 11(1 + z) -6 + 15z = (1 * 11 + z * 11) -6 + 15z = (11 + 11z) Solving -6 + 15z = 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. -6 + 15z + -11z = 11 + 11z + -11z Combine like terms: 15z + -11z = 4z -6 + 4z = 11 + 11z + -11z Combine like terms: 11z + -11z = 0 -6 + 4z = 11 + 0 -6 + 4z = 11 Add '6' to each side of the equation. -6 + 6 + 4z = 11 + 6 Combine like terms: -6 + 6 = 0 0 + 4z = 11 + 6 4z = 11 + 6 Combine like terms: 11 + 6 = 17 4z = 17 Divide each side by '4'. z = 4.25 Simplifying z = 4.25
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