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Simplifying 10 = 13 + -3z Solving 10 = 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. 10 + 3z = 13 + -3z + 3z Combine like terms: -3z + 3z = 0 10 + 3z = 13 + 0 10 + 3z = 13 Add '-10' to each side of the equation. 10 + -10 + 3z = 13 + -10 Combine like terms: 10 + -10 = 0 0 + 3z = 13 + -10 3z = 13 + -10 Combine like terms: 13 + -10 = 3 3z = 3 Divide each side by '3'. z = 1 Simplifying z = 1
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