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Simplifying 5(2z + -1) = 8z + 3 Reorder the terms: 5(-1 + 2z) = 8z + 3 (-1 * 5 + 2z * 5) = 8z + 3 (-5 + 10z) = 8z + 3 Reorder the terms: -5 + 10z = 3 + 8z Solving -5 + 10z = 3 + 8z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-8z' to each side of the equation. -5 + 10z + -8z = 3 + 8z + -8z Combine like terms: 10z + -8z = 2z -5 + 2z = 3 + 8z + -8z Combine like terms: 8z + -8z = 0 -5 + 2z = 3 + 0 -5 + 2z = 3 Add '5' to each side of the equation. -5 + 5 + 2z = 3 + 5 Combine like terms: -5 + 5 = 0 0 + 2z = 3 + 5 2z = 3 + 5 Combine like terms: 3 + 5 = 8 2z = 8 Divide each side by '2'. z = 4 Simplifying z = 4
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