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Simplifying 3 + -5z = 3z + -13 Reorder the terms: 3 + -5z = -13 + 3z Solving 3 + -5z = -13 + 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. 3 + -5z + -3z = -13 + 3z + -3z Combine like terms: -5z + -3z = -8z 3 + -8z = -13 + 3z + -3z Combine like terms: 3z + -3z = 0 3 + -8z = -13 + 0 3 + -8z = -13 Add '-3' to each side of the equation. 3 + -3 + -8z = -13 + -3 Combine like terms: 3 + -3 = 0 0 + -8z = -13 + -3 -8z = -13 + -3 Combine like terms: -13 + -3 = -16 -8z = -16 Divide each side by '-8'. z = 2 Simplifying z = 2
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