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Simplifying 5(3n + 10) + 3(18 + -4n) = 16 Reorder the terms: 5(10 + 3n) + 3(18 + -4n) = 16 (10 * 5 + 3n * 5) + 3(18 + -4n) = 16 (50 + 15n) + 3(18 + -4n) = 16 50 + 15n + (18 * 3 + -4n * 3) = 16 50 + 15n + (54 + -12n) = 16 Reorder the terms: 50 + 54 + 15n + -12n = 16 Combine like terms: 50 + 54 = 104 104 + 15n + -12n = 16 Combine like terms: 15n + -12n = 3n 104 + 3n = 16 Solving 104 + 3n = 16 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-104' to each side of the equation. 104 + -104 + 3n = 16 + -104 Combine like terms: 104 + -104 = 0 0 + 3n = 16 + -104 3n = 16 + -104 Combine like terms: 16 + -104 = -88 3n = -88 Divide each side by '3'. n = -29.33333333 Simplifying n = -29.33333333
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