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Simplifying (x + 6)(n + 6 + -10) = 100 Reorder the terms: (6 + x)(n + 6 + -10) = 100 Reorder the terms: (6 + x)(6 + -10 + n) = 100 Combine like terms: 6 + -10 = -4 (6 + x)(-4 + n) = 100 Multiply (6 + x) * (-4 + n) (6(-4 + n) + x(-4 + n)) = 100 ((-4 * 6 + n * 6) + x(-4 + n)) = 100 ((-24 + 6n) + x(-4 + n)) = 100 (-24 + 6n + (-4 * x + n * x)) = 100 Reorder the terms: (-24 + 6n + (nx + -4x)) = 100 (-24 + 6n + (nx + -4x)) = 100 (-24 + 6n + nx + -4x) = 100 Solving -24 + 6n + nx + -4x = 100 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 6n + nx + 24 + -4x = 100 + 24 Reorder the terms: -24 + 24 + 6n + nx + -4x = 100 + 24 Combine like terms: -24 + 24 = 0 0 + 6n + nx + -4x = 100 + 24 6n + nx + -4x = 100 + 24 Combine like terms: 100 + 24 = 124 6n + nx + -4x = 124 Add '4x' to each side of the equation. 6n + nx + -4x + 4x = 124 + 4x Combine like terms: -4x + 4x = 0 6n + nx + 0 = 124 + 4x 6n + nx = 124 + 4x Reorder the terms: -124 + 6n + nx + -4x = 124 + 4x + -124 + -4x Reorder the terms: -124 + 6n + nx + -4x = 124 + -124 + 4x + -4x Combine like terms: 124 + -124 = 0 -124 + 6n + nx + -4x = 0 + 4x + -4x -124 + 6n + nx + -4x = 4x + -4x Combine like terms: 4x + -4x = 0 -124 + 6n + nx + -4x = 0 The solution to this equation could not be determined.
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