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Simplifying 8z + -23 = -77 + 2z Reorder the terms: -23 + 8z = -77 + 2z Solving -23 + 8z = -77 + 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. -23 + 8z + -2z = -77 + 2z + -2z Combine like terms: 8z + -2z = 6z -23 + 6z = -77 + 2z + -2z Combine like terms: 2z + -2z = 0 -23 + 6z = -77 + 0 -23 + 6z = -77 Add '23' to each side of the equation. -23 + 23 + 6z = -77 + 23 Combine like terms: -23 + 23 = 0 0 + 6z = -77 + 23 6z = -77 + 23 Combine like terms: -77 + 23 = -54 6z = -54 Divide each side by '6'. z = -9 Simplifying z = -9
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