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Simplifying 3z + -13 = 8z + 2 Reorder the terms: -13 + 3z = 8z + 2 Reorder the terms: -13 + 3z = 2 + 8z Solving -13 + 3z = 2 + 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. -13 + 3z + -8z = 2 + 8z + -8z Combine like terms: 3z + -8z = -5z -13 + -5z = 2 + 8z + -8z Combine like terms: 8z + -8z = 0 -13 + -5z = 2 + 0 -13 + -5z = 2 Add '13' to each side of the equation. -13 + 13 + -5z = 2 + 13 Combine like terms: -13 + 13 = 0 0 + -5z = 2 + 13 -5z = 2 + 13 Combine like terms: 2 + 13 = 15 -5z = 15 Divide each side by '-5'. z = -3 Simplifying z = -3
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