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Simplifying -11 + -5z = 6(5z + 4) Reorder the terms: -11 + -5z = 6(4 + 5z) -11 + -5z = (4 * 6 + 5z * 6) -11 + -5z = (24 + 30z) Solving -11 + -5z = 24 + 30z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-30z' to each side of the equation. -11 + -5z + -30z = 24 + 30z + -30z Combine like terms: -5z + -30z = -35z -11 + -35z = 24 + 30z + -30z Combine like terms: 30z + -30z = 0 -11 + -35z = 24 + 0 -11 + -35z = 24 Add '11' to each side of the equation. -11 + 11 + -35z = 24 + 11 Combine like terms: -11 + 11 = 0 0 + -35z = 24 + 11 -35z = 24 + 11 Combine like terms: 24 + 11 = 35 -35z = 35 Divide each side by '-35'. z = -1 Simplifying z = -1
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