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Simplifying 6(3z + -1) + -2(z + 8) = 11(z + 1) Reorder the terms: 6(-1 + 3z) + -2(z + 8) = 11(z + 1) (-1 * 6 + 3z * 6) + -2(z + 8) = 11(z + 1) (-6 + 18z) + -2(z + 8) = 11(z + 1) Reorder the terms: -6 + 18z + -2(8 + z) = 11(z + 1) -6 + 18z + (8 * -2 + z * -2) = 11(z + 1) -6 + 18z + (-16 + -2z) = 11(z + 1) Reorder the terms: -6 + -16 + 18z + -2z = 11(z + 1) Combine like terms: -6 + -16 = -22 -22 + 18z + -2z = 11(z + 1) Combine like terms: 18z + -2z = 16z -22 + 16z = 11(z + 1) Reorder the terms: -22 + 16z = 11(1 + z) -22 + 16z = (1 * 11 + z * 11) -22 + 16z = (11 + 11z) Solving -22 + 16z = 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. -22 + 16z + -11z = 11 + 11z + -11z Combine like terms: 16z + -11z = 5z -22 + 5z = 11 + 11z + -11z Combine like terms: 11z + -11z = 0 -22 + 5z = 11 + 0 -22 + 5z = 11 Add '22' to each side of the equation. -22 + 22 + 5z = 11 + 22 Combine like terms: -22 + 22 = 0 0 + 5z = 11 + 22 5z = 11 + 22 Combine like terms: 11 + 22 = 33 5z = 33 Divide each side by '5'. z = 6.6 Simplifying z = 6.6
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