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Simplifying 11(z + -5) = 2(z + 6) + -13 Reorder the terms: 11(-5 + z) = 2(z + 6) + -13 (-5 * 11 + z * 11) = 2(z + 6) + -13 (-55 + 11z) = 2(z + 6) + -13 Reorder the terms: -55 + 11z = 2(6 + z) + -13 -55 + 11z = (6 * 2 + z * 2) + -13 -55 + 11z = (12 + 2z) + -13 Reorder the terms: -55 + 11z = 12 + -13 + 2z Combine like terms: 12 + -13 = -1 -55 + 11z = -1 + 2z Solving -55 + 11z = -1 + 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 = -1 + 2z + -2z Combine like terms: 11z + -2z = 9z -55 + 9z = -1 + 2z + -2z Combine like terms: 2z + -2z = 0 -55 + 9z = -1 + 0 -55 + 9z = -1 Add '55' to each side of the equation. -55 + 55 + 9z = -1 + 55 Combine like terms: -55 + 55 = 0 0 + 9z = -1 + 55 9z = -1 + 55 Combine like terms: -1 + 55 = 54 9z = 54 Divide each side by '9'. z = 6 Simplifying z = 6
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