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Simplifying 3z + 5 + 2z = 10(2 + -1z) Reorder the terms: 5 + 3z + 2z = 10(2 + -1z) Combine like terms: 3z + 2z = 5z 5 + 5z = 10(2 + -1z) 5 + 5z = (2 * 10 + -1z * 10) 5 + 5z = (20 + -10z) Solving 5 + 5z = 20 + -10z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '10z' to each side of the equation. 5 + 5z + 10z = 20 + -10z + 10z Combine like terms: 5z + 10z = 15z 5 + 15z = 20 + -10z + 10z Combine like terms: -10z + 10z = 0 5 + 15z = 20 + 0 5 + 15z = 20 Add '-5' to each side of the equation. 5 + -5 + 15z = 20 + -5 Combine like terms: 5 + -5 = 0 0 + 15z = 20 + -5 15z = 20 + -5 Combine like terms: 20 + -5 = 15 15z = 15 Divide each side by '15'. z = 1 Simplifying z = 1
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