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Simplifying 11(z + -5) = 2(z + 6) Reorder the terms: 11(-5 + z) = 2(z + 6) (-5 * 11 + z * 11) = 2(z + 6) (-55 + 11z) = 2(z + 6) Reorder the terms: -55 + 11z = 2(6 + z) -55 + 11z = (6 * 2 + z * 2) -55 + 11z = (12 + 2z) Solving -55 + 11z = 12 + 2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2z' to each side of the equation. -55 + 11z + -2z = 12 + 2z + -2z Combine like terms: 11z + -2z = 9z -55 + 9z = 12 + 2z + -2z Combine like terms: 2z + -2z = 0 -55 + 9z = 12 + 0 -55 + 9z = 12 Add '55' to each side of the equation. -55 + 55 + 9z = 12 + 55 Combine like terms: -55 + 55 = 0 0 + 9z = 12 + 55 9z = 12 + 55 Combine like terms: 12 + 55 = 67 9z = 67 Divide each side by '9'. z = 7.444444444 Simplifying z = 7.444444444
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