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Simplifying 5z + -8 + 2 = -1 + 2z + 8z Reorder the terms: -8 + 2 + 5z = -1 + 2z + 8z Combine like terms: -8 + 2 = -6 -6 + 5z = -1 + 2z + 8z Combine like terms: 2z + 8z = 10z -6 + 5z = -1 + 10z Solving -6 + 5z = -1 + 10z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-10z' to each side of the equation. -6 + 5z + -10z = -1 + 10z + -10z Combine like terms: 5z + -10z = -5z -6 + -5z = -1 + 10z + -10z Combine like terms: 10z + -10z = 0 -6 + -5z = -1 + 0 -6 + -5z = -1 Add '6' to each side of the equation. -6 + 6 + -5z = -1 + 6 Combine like terms: -6 + 6 = 0 0 + -5z = -1 + 6 -5z = -1 + 6 Combine like terms: -1 + 6 = 5 -5z = 5 Divide each side by '-5'. z = -1 Simplifying z = -1
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