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Simplifying 3z + 10 = 2 + 5z Reorder the terms: 10 + 3z = 2 + 5z Solving 10 + 3z = 2 + 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. 10 + 3z + -5z = 2 + 5z + -5z Combine like terms: 3z + -5z = -2z 10 + -2z = 2 + 5z + -5z Combine like terms: 5z + -5z = 0 10 + -2z = 2 + 0 10 + -2z = 2 Add '-10' to each side of the equation. 10 + -10 + -2z = 2 + -10 Combine like terms: 10 + -10 = 0 0 + -2z = 2 + -10 -2z = 2 + -10 Combine like terms: 2 + -10 = -8 -2z = -8 Divide each side by '-2'. z = 4 Simplifying z = 4
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