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Simplifying -1(11 + -2z) = 5(z + 8) (11 * -1 + -2z * -1) = 5(z + 8) (-11 + 2z) = 5(z + 8) Reorder the terms: -11 + 2z = 5(8 + z) -11 + 2z = (8 * 5 + z * 5) -11 + 2z = (40 + 5z) Solving -11 + 2z = 40 + 5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5z' to each side of the equation. -11 + 2z + -5z = 40 + 5z + -5z Combine like terms: 2z + -5z = -3z -11 + -3z = 40 + 5z + -5z Combine like terms: 5z + -5z = 0 -11 + -3z = 40 + 0 -11 + -3z = 40 Add '11' to each side of the equation. -11 + 11 + -3z = 40 + 11 Combine like terms: -11 + 11 = 0 0 + -3z = 40 + 11 -3z = 40 + 11 Combine like terms: 40 + 11 = 51 -3z = 51 Divide each side by '-3'. z = -17 Simplifying z = -17
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