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Simplifying 3z + 4(z + -5) = 10 + -5z Reorder the terms: 3z + 4(-5 + z) = 10 + -5z 3z + (-5 * 4 + z * 4) = 10 + -5z 3z + (-20 + 4z) = 10 + -5z Reorder the terms: -20 + 3z + 4z = 10 + -5z Combine like terms: 3z + 4z = 7z -20 + 7z = 10 + -5z Solving -20 + 7z = 10 + -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. -20 + 7z + 5z = 10 + -5z + 5z Combine like terms: 7z + 5z = 12z -20 + 12z = 10 + -5z + 5z Combine like terms: -5z + 5z = 0 -20 + 12z = 10 + 0 -20 + 12z = 10 Add '20' to each side of the equation. -20 + 20 + 12z = 10 + 20 Combine like terms: -20 + 20 = 0 0 + 12z = 10 + 20 12z = 10 + 20 Combine like terms: 10 + 20 = 30 12z = 30 Divide each side by '12'. z = 2.5 Simplifying z = 2.5
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