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Simplifying 5z + -1 = 8z + 1 Reorder the terms: -1 + 5z = 8z + 1 Reorder the terms: -1 + 5z = 1 + 8z Solving -1 + 5z = 1 + 8z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-8z' to each side of the equation. -1 + 5z + -8z = 1 + 8z + -8z Combine like terms: 5z + -8z = -3z -1 + -3z = 1 + 8z + -8z Combine like terms: 8z + -8z = 0 -1 + -3z = 1 + 0 -1 + -3z = 1 Add '1' to each side of the equation. -1 + 1 + -3z = 1 + 1 Combine like terms: -1 + 1 = 0 0 + -3z = 1 + 1 -3z = 1 + 1 Combine like terms: 1 + 1 = 2 -3z = 2 Divide each side by '-3'. z = -0.6666666667 Simplifying z = -0.6666666667
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