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Simplifying 7 + 3z = 42 + -2z Solving 7 + 3z = 42 + -2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '2z' to each side of the equation. 7 + 3z + 2z = 42 + -2z + 2z Combine like terms: 3z + 2z = 5z 7 + 5z = 42 + -2z + 2z Combine like terms: -2z + 2z = 0 7 + 5z = 42 + 0 7 + 5z = 42 Add '-7' to each side of the equation. 7 + -7 + 5z = 42 + -7 Combine like terms: 7 + -7 = 0 0 + 5z = 42 + -7 5z = 42 + -7 Combine like terms: 42 + -7 = 35 5z = 35 Divide each side by '5'. z = 7 Simplifying z = 7
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