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Simplifying (n + 5)(p + -14) = 1400 Reorder the terms: (5 + n)(p + -14) = 1400 Reorder the terms: (5 + n)(-14 + p) = 1400 Multiply (5 + n) * (-14 + p) (5(-14 + p) + n(-14 + p)) = 1400 ((-14 * 5 + p * 5) + n(-14 + p)) = 1400 ((-70 + 5p) + n(-14 + p)) = 1400 (-70 + 5p + (-14 * n + p * n)) = 1400 (-70 + 5p + (-14n + np)) = 1400 Reorder the terms: (-70 + -14n + np + 5p) = 1400 (-70 + -14n + np + 5p) = 1400 Solving -70 + -14n + np + 5p = 1400 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '70' to each side of the equation. -70 + -14n + np + 70 + 5p = 1400 + 70 Reorder the terms: -70 + 70 + -14n + np + 5p = 1400 + 70 Combine like terms: -70 + 70 = 0 0 + -14n + np + 5p = 1400 + 70 -14n + np + 5p = 1400 + 70 Combine like terms: 1400 + 70 = 1470 -14n + np + 5p = 1470 Add '-5p' to each side of the equation. -14n + np + 5p + -5p = 1470 + -5p Combine like terms: 5p + -5p = 0 -14n + np + 0 = 1470 + -5p -14n + np = 1470 + -5p Reorder the terms: -1470 + -14n + np + 5p = 1470 + -5p + -1470 + 5p Reorder the terms: -1470 + -14n + np + 5p = 1470 + -1470 + -5p + 5p Combine like terms: 1470 + -1470 = 0 -1470 + -14n + np + 5p = 0 + -5p + 5p -1470 + -14n + np + 5p = -5p + 5p Combine like terms: -5p + 5p = 0 -1470 + -14n + np + 5p = 0 The solution to this equation could not be determined.
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