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Simplifying 5z + -6 = 3z + -8 Reorder the terms: -6 + 5z = 3z + -8 Reorder the terms: -6 + 5z = -8 + 3z Solving -6 + 5z = -8 + 3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3z' to each side of the equation. -6 + 5z + -3z = -8 + 3z + -3z Combine like terms: 5z + -3z = 2z -6 + 2z = -8 + 3z + -3z Combine like terms: 3z + -3z = 0 -6 + 2z = -8 + 0 -6 + 2z = -8 Add '6' to each side of the equation. -6 + 6 + 2z = -8 + 6 Combine like terms: -6 + 6 = 0 0 + 2z = -8 + 6 2z = -8 + 6 Combine like terms: -8 + 6 = -2 2z = -2 Divide each side by '2'. z = -1 Simplifying z = -1
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