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Simplifying 5z + 1 + -2(8 + -11z) = -177 5z + 1 + (8 * -2 + -11z * -2) = -177 5z + 1 + (-16 + 22z) = -177 Reorder the terms: 1 + -16 + 5z + 22z = -177 Combine like terms: 1 + -16 = -15 -15 + 5z + 22z = -177 Combine like terms: 5z + 22z = 27z -15 + 27z = -177 Solving -15 + 27z = -177 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 27z = -177 + 15 Combine like terms: -15 + 15 = 0 0 + 27z = -177 + 15 27z = -177 + 15 Combine like terms: -177 + 15 = -162 27z = -162 Divide each side by '27'. z = -6 Simplifying z = -6
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