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Simplifying 4(2z + 5) = 10 + -2(z + -5) Reorder the terms: 4(5 + 2z) = 10 + -2(z + -5) (5 * 4 + 2z * 4) = 10 + -2(z + -5) (20 + 8z) = 10 + -2(z + -5) Reorder the terms: 20 + 8z = 10 + -2(-5 + z) 20 + 8z = 10 + (-5 * -2 + z * -2) 20 + 8z = 10 + (10 + -2z) Combine like terms: 10 + 10 = 20 20 + 8z = 20 + -2z Add '-20' to each side of the equation. 20 + -20 + 8z = 20 + -20 + -2z Combine like terms: 20 + -20 = 0 0 + 8z = 20 + -20 + -2z 8z = 20 + -20 + -2z Combine like terms: 20 + -20 = 0 8z = 0 + -2z 8z = -2z Solving 8z = -2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '2z' to each side of the equation. 8z + 2z = -2z + 2z Combine like terms: 8z + 2z = 10z 10z = -2z + 2z Combine like terms: -2z + 2z = 0 10z = 0 Divide each side by '10'. z = 0.0 Simplifying z = 0.0
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