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Simplifying 3z + -13 = 3 + z Reorder the terms: -13 + 3z = 3 + z Solving -13 + 3z = 3 + z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1z' to each side of the equation. -13 + 3z + -1z = 3 + z + -1z Combine like terms: 3z + -1z = 2z -13 + 2z = 3 + z + -1z Combine like terms: z + -1z = 0 -13 + 2z = 3 + 0 -13 + 2z = 3 Add '13' to each side of the equation. -13 + 13 + 2z = 3 + 13 Combine like terms: -13 + 13 = 0 0 + 2z = 3 + 13 2z = 3 + 13 Combine like terms: 3 + 13 = 16 2z = 16 Divide each side by '2'. z = 8 Simplifying z = 8
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