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