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Simplifying 10(2n + 1) = 8(z + -3) + 36 Reorder the terms: 10(1 + 2n) = 8(z + -3) + 36 (1 * 10 + 2n * 10) = 8(z + -3) + 36 (10 + 20n) = 8(z + -3) + 36 Reorder the terms: 10 + 20n = 8(-3 + z) + 36 10 + 20n = (-3 * 8 + z * 8) + 36 10 + 20n = (-24 + 8z) + 36 Reorder the terms: 10 + 20n = -24 + 36 + 8z Combine like terms: -24 + 36 = 12 10 + 20n = 12 + 8z Solving 10 + 20n = 12 + 8z Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 20n = 12 + -10 + 8z Combine like terms: 10 + -10 = 0 0 + 20n = 12 + -10 + 8z 20n = 12 + -10 + 8z Combine like terms: 12 + -10 = 2 20n = 2 + 8z Divide each side by '20'. n = 0.1 + 0.4z Simplifying n = 0.1 + 0.4z
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