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Simplifying 3n + 8(2n + -6) = 2 + 14n Reorder the terms: 3n + 8(-6 + 2n) = 2 + 14n 3n + (-6 * 8 + 2n * 8) = 2 + 14n 3n + (-48 + 16n) = 2 + 14n Reorder the terms: -48 + 3n + 16n = 2 + 14n Combine like terms: 3n + 16n = 19n -48 + 19n = 2 + 14n Solving -48 + 19n = 2 + 14n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-14n' to each side of the equation. -48 + 19n + -14n = 2 + 14n + -14n Combine like terms: 19n + -14n = 5n -48 + 5n = 2 + 14n + -14n Combine like terms: 14n + -14n = 0 -48 + 5n = 2 + 0 -48 + 5n = 2 Add '48' to each side of the equation. -48 + 48 + 5n = 2 + 48 Combine like terms: -48 + 48 = 0 0 + 5n = 2 + 48 5n = 2 + 48 Combine like terms: 2 + 48 = 50 5n = 50 Divide each side by '5'. n = 10 Simplifying n = 10
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