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Simplifying (n + 10)(x + -4) = (x + -4) Reorder the terms: (10 + n)(x + -4) = (x + -4) Reorder the terms: (10 + n)(-4 + x) = (x + -4) Multiply (10 + n) * (-4 + x) (10(-4 + x) + n(-4 + x)) = (x + -4) ((-4 * 10 + x * 10) + n(-4 + x)) = (x + -4) ((-40 + 10x) + n(-4 + x)) = (x + -4) (-40 + 10x + (-4 * n + x * n)) = (x + -4) (-40 + 10x + (-4n + nx)) = (x + -4) Reorder the terms: (-40 + -4n + nx + 10x) = (x + -4) (-40 + -4n + nx + 10x) = (x + -4) Reorder the terms: -40 + -4n + nx + 10x = (-4 + x) Remove parenthesis around (-4 + x) -40 + -4n + nx + 10x = -4 + x Solving -40 + -4n + nx + 10x = -4 + x Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '40' to each side of the equation. -40 + -4n + nx + 40 + 10x = -4 + 40 + x Reorder the terms: -40 + 40 + -4n + nx + 10x = -4 + 40 + x Combine like terms: -40 + 40 = 0 0 + -4n + nx + 10x = -4 + 40 + x -4n + nx + 10x = -4 + 40 + x Combine like terms: -4 + 40 = 36 -4n + nx + 10x = 36 + x Add '-10x' to each side of the equation. -4n + nx + 10x + -10x = 36 + x + -10x Combine like terms: 10x + -10x = 0 -4n + nx + 0 = 36 + x + -10x -4n + nx = 36 + x + -10x Combine like terms: x + -10x = -9x -4n + nx = 36 + -9x Reorder the terms: -36 + -4n + nx + 9x = 36 + -9x + -36 + 9x Reorder the terms: -36 + -4n + nx + 9x = 36 + -36 + -9x + 9x Combine like terms: 36 + -36 = 0 -36 + -4n + nx + 9x = 0 + -9x + 9x -36 + -4n + nx + 9x = -9x + 9x Combine like terms: -9x + 9x = 0 -36 + -4n + nx + 9x = 0 The solution to this equation could not be determined.
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