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Simplifying 5(2z + -3) = 8z + 1 Reorder the terms: 5(-3 + 2z) = 8z + 1 (-3 * 5 + 2z * 5) = 8z + 1 (-15 + 10z) = 8z + 1 Reorder the terms: -15 + 10z = 1 + 8z Solving -15 + 10z = 1 + 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. -15 + 10z + -8z = 1 + 8z + -8z Combine like terms: 10z + -8z = 2z -15 + 2z = 1 + 8z + -8z Combine like terms: 8z + -8z = 0 -15 + 2z = 1 + 0 -15 + 2z = 1 Add '15' to each side of the equation. -15 + 15 + 2z = 1 + 15 Combine like terms: -15 + 15 = 0 0 + 2z = 1 + 15 2z = 1 + 15 Combine like terms: 1 + 15 = 16 2z = 16 Divide each side by '2'. z = 8 Simplifying z = 8
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