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Simplifying 5(3Z + -1) + -3(2 + 8) = (2 + 1) Reorder the terms: 5(-1 + 3Z) + -3(2 + 8) = (2 + 1) (-1 * 5 + 3Z * 5) + -3(2 + 8) = (2 + 1) (-5 + 15Z) + -3(2 + 8) = (2 + 1) Combine like terms: 2 + 8 = 10 -5 + 15Z + -3(10) = (2 + 1) Multiply -3 * 10 -5 + 15Z + -30 = (2 + 1) Reorder the terms: -5 + -30 + 15Z = (2 + 1) Combine like terms: -5 + -30 = -35 -35 + 15Z = (2 + 1) Combine like terms: 2 + 1 = 3 -35 + 15Z = (3) -35 + 15Z = 3 Solving -35 + 15Z = 3 Solving for variable 'Z'. Move all terms containing Z to the left, all other terms to the right. Add '35' to each side of the equation. -35 + 35 + 15Z = 3 + 35 Combine like terms: -35 + 35 = 0 0 + 15Z = 3 + 35 15Z = 3 + 35 Combine like terms: 3 + 35 = 38 15Z = 38 Divide each side by '15'. Z = 2.533333333 Simplifying Z = 2.533333333
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