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Simplifying 3(n + -4) + -7(2n + 8) = 0 Reorder the terms: 3(-4 + n) + -7(2n + 8) = 0 (-4 * 3 + n * 3) + -7(2n + 8) = 0 (-12 + 3n) + -7(2n + 8) = 0 Reorder the terms: -12 + 3n + -7(8 + 2n) = 0 -12 + 3n + (8 * -7 + 2n * -7) = 0 -12 + 3n + (-56 + -14n) = 0 Reorder the terms: -12 + -56 + 3n + -14n = 0 Combine like terms: -12 + -56 = -68 -68 + 3n + -14n = 0 Combine like terms: 3n + -14n = -11n -68 + -11n = 0 Solving -68 + -11n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '68' to each side of the equation. -68 + 68 + -11n = 0 + 68 Combine like terms: -68 + 68 = 0 0 + -11n = 0 + 68 -11n = 0 + 68 Combine like terms: 0 + 68 = 68 -11n = 68 Divide each side by '-11'. n = -6.181818182 Simplifying n = -6.181818182
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