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