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Simplifying 42 = 8z + 13z Combine like terms: 8z + 13z = 21z 42 = 21z Solving 42 = 21z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-21z' to each side of the equation. 42 + -21z = 21z + -21z Combine like terms: 21z + -21z = 0 42 + -21z = 0 Add '-42' to each side of the equation. 42 + -42 + -21z = 0 + -42 Combine like terms: 42 + -42 = 0 0 + -21z = 0 + -42 -21z = 0 + -42 Combine like terms: 0 + -42 = -42 -21z = -42 Divide each side by '-21'. z = 2 Simplifying z = 2
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