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Simplifying 5(2z + -4) = 8(z + 3) Reorder the terms: 5(-4 + 2z) = 8(z + 3) (-4 * 5 + 2z * 5) = 8(z + 3) (-20 + 10z) = 8(z + 3) Reorder the terms: -20 + 10z = 8(3 + z) -20 + 10z = (3 * 8 + z * 8) -20 + 10z = (24 + 8z) Solving -20 + 10z = 24 + 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. -20 + 10z + -8z = 24 + 8z + -8z Combine like terms: 10z + -8z = 2z -20 + 2z = 24 + 8z + -8z Combine like terms: 8z + -8z = 0 -20 + 2z = 24 + 0 -20 + 2z = 24 Add '20' to each side of the equation. -20 + 20 + 2z = 24 + 20 Combine like terms: -20 + 20 = 0 0 + 2z = 24 + 20 2z = 24 + 20 Combine like terms: 24 + 20 = 44 2z = 44 Divide each side by '2'. z = 22 Simplifying z = 22
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