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Simplifying 5z + 4 + -6 = -8 + 8z Reorder the terms: 4 + -6 + 5z = -8 + 8z Combine like terms: 4 + -6 = -2 -2 + 5z = -8 + 8z Solving -2 + 5z = -8 + 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. -2 + 5z + -8z = -8 + 8z + -8z Combine like terms: 5z + -8z = -3z -2 + -3z = -8 + 8z + -8z Combine like terms: 8z + -8z = 0 -2 + -3z = -8 + 0 -2 + -3z = -8 Add '2' to each side of the equation. -2 + 2 + -3z = -8 + 2 Combine like terms: -2 + 2 = 0 0 + -3z = -8 + 2 -3z = -8 + 2 Combine like terms: -8 + 2 = -6 -3z = -6 Divide each side by '-3'. z = 2 Simplifying z = 2
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