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Simplifying 14n + -3(n + 8) = 15n + 27 Reorder the terms: 14n + -3(8 + n) = 15n + 27 14n + (8 * -3 + n * -3) = 15n + 27 14n + (-24 + -3n) = 15n + 27 Reorder the terms: -24 + 14n + -3n = 15n + 27 Combine like terms: 14n + -3n = 11n -24 + 11n = 15n + 27 Reorder the terms: -24 + 11n = 27 + 15n Solving -24 + 11n = 27 + 15n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-15n' to each side of the equation. -24 + 11n + -15n = 27 + 15n + -15n Combine like terms: 11n + -15n = -4n -24 + -4n = 27 + 15n + -15n Combine like terms: 15n + -15n = 0 -24 + -4n = 27 + 0 -24 + -4n = 27 Add '24' to each side of the equation. -24 + 24 + -4n = 27 + 24 Combine like terms: -24 + 24 = 0 0 + -4n = 27 + 24 -4n = 27 + 24 Combine like terms: 27 + 24 = 51 -4n = 51 Divide each side by '-4'. n = -12.75 Simplifying n = -12.75
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