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Simplifying 5(2z + 1) = 5(z + -5) Reorder the terms: 5(1 + 2z) = 5(z + -5) (1 * 5 + 2z * 5) = 5(z + -5) (5 + 10z) = 5(z + -5) Reorder the terms: 5 + 10z = 5(-5 + z) 5 + 10z = (-5 * 5 + z * 5) 5 + 10z = (-25 + 5z) Solving 5 + 10z = -25 + 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. 5 + 10z + -5z = -25 + 5z + -5z Combine like terms: 10z + -5z = 5z 5 + 5z = -25 + 5z + -5z Combine like terms: 5z + -5z = 0 5 + 5z = -25 + 0 5 + 5z = -25 Add '-5' to each side of the equation. 5 + -5 + 5z = -25 + -5 Combine like terms: 5 + -5 = 0 0 + 5z = -25 + -5 5z = -25 + -5 Combine like terms: -25 + -5 = -30 5z = -30 Divide each side by '5'. z = -6 Simplifying z = -6
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