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Simplifying 2z + 62 = 5z + 38 Reorder the terms: 62 + 2z = 5z + 38 Reorder the terms: 62 + 2z = 38 + 5z Solving 62 + 2z = 38 + 5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5z' to each side of the equation. 62 + 2z + -5z = 38 + 5z + -5z Combine like terms: 2z + -5z = -3z 62 + -3z = 38 + 5z + -5z Combine like terms: 5z + -5z = 0 62 + -3z = 38 + 0 62 + -3z = 38 Add '-62' to each side of the equation. 62 + -62 + -3z = 38 + -62 Combine like terms: 62 + -62 = 0 0 + -3z = 38 + -62 -3z = 38 + -62 Combine like terms: 38 + -62 = -24 -3z = -24 Divide each side by '-3'. z = 8 Simplifying z = 8
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