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Simplifying -14n + 3(2n + -4) = 12 + 11n + -16n Reorder the terms: -14n + 3(-4 + 2n) = 12 + 11n + -16n -14n + (-4 * 3 + 2n * 3) = 12 + 11n + -16n -14n + (-12 + 6n) = 12 + 11n + -16n Reorder the terms: -12 + -14n + 6n = 12 + 11n + -16n Combine like terms: -14n + 6n = -8n -12 + -8n = 12 + 11n + -16n Combine like terms: 11n + -16n = -5n -12 + -8n = 12 + -5n Solving -12 + -8n = 12 + -5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '5n' to each side of the equation. -12 + -8n + 5n = 12 + -5n + 5n Combine like terms: -8n + 5n = -3n -12 + -3n = 12 + -5n + 5n Combine like terms: -5n + 5n = 0 -12 + -3n = 12 + 0 -12 + -3n = 12 Add '12' to each side of the equation. -12 + 12 + -3n = 12 + 12 Combine like terms: -12 + 12 = 0 0 + -3n = 12 + 12 -3n = 12 + 12 Combine like terms: 12 + 12 = 24 -3n = 24 Divide each side by '-3'. n = -8 Simplifying n = -8
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