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Simplifying 4x + 3(x + -1n) = -1(5x + -20) + -1x Reorder the terms: 4x + 3(-1n + x) = -1(5x + -20) + -1x 4x + (-1n * 3 + x * 3) = -1(5x + -20) + -1x 4x + (-3n + 3x) = -1(5x + -20) + -1x Reorder the terms: -3n + 4x + 3x = -1(5x + -20) + -1x Combine like terms: 4x + 3x = 7x -3n + 7x = -1(5x + -20) + -1x Reorder the terms: -3n + 7x = -1(-20 + 5x) + -1x -3n + 7x = (-20 * -1 + 5x * -1) + -1x -3n + 7x = (20 + -5x) + -1x Combine like terms: -5x + -1x = -6x -3n + 7x = 20 + -6x Solving -3n + 7x = 20 + -6x Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7x' to each side of the equation. -3n + 7x + -7x = 20 + -6x + -7x Combine like terms: 7x + -7x = 0 -3n + 0 = 20 + -6x + -7x -3n = 20 + -6x + -7x Combine like terms: -6x + -7x = -13x -3n = 20 + -13x Divide each side by '-3'. n = -6.666666667 + 4.333333333x Simplifying n = -6.666666667 + 4.333333333x
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