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Simplifying 4(z + -5) = 11z + 50 Reorder the terms: 4(-5 + z) = 11z + 50 (-5 * 4 + z * 4) = 11z + 50 (-20 + 4z) = 11z + 50 Reorder the terms: -20 + 4z = 50 + 11z Solving -20 + 4z = 50 + 11z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-11z' to each side of the equation. -20 + 4z + -11z = 50 + 11z + -11z Combine like terms: 4z + -11z = -7z -20 + -7z = 50 + 11z + -11z Combine like terms: 11z + -11z = 0 -20 + -7z = 50 + 0 -20 + -7z = 50 Add '20' to each side of the equation. -20 + 20 + -7z = 50 + 20 Combine like terms: -20 + 20 = 0 0 + -7z = 50 + 20 -7z = 50 + 20 Combine like terms: 50 + 20 = 70 -7z = 70 Divide each side by '-7'. z = -10 Simplifying z = -10
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