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Simplifying 11(2z + -8) = -4(7 + -3z) Reorder the terms: 11(-8 + 2z) = -4(7 + -3z) (-8 * 11 + 2z * 11) = -4(7 + -3z) (-88 + 22z) = -4(7 + -3z) -88 + 22z = (7 * -4 + -3z * -4) -88 + 22z = (-28 + 12z) Solving -88 + 22z = -28 + 12z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-12z' to each side of the equation. -88 + 22z + -12z = -28 + 12z + -12z Combine like terms: 22z + -12z = 10z -88 + 10z = -28 + 12z + -12z Combine like terms: 12z + -12z = 0 -88 + 10z = -28 + 0 -88 + 10z = -28 Add '88' to each side of the equation. -88 + 88 + 10z = -28 + 88 Combine like terms: -88 + 88 = 0 0 + 10z = -28 + 88 10z = -28 + 88 Combine like terms: -28 + 88 = 60 10z = 60 Divide each side by '10'. z = 6 Simplifying z = 6
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