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Simplifying 3x + -1 + 56 + -6n = 12n + -36 + 15x Reorder the terms: -1 + 56 + -6n + 3x = 12n + -36 + 15x Combine like terms: -1 + 56 = 55 55 + -6n + 3x = 12n + -36 + 15x Reorder the terms: 55 + -6n + 3x = -36 + 12n + 15x Solving 55 + -6n + 3x = -36 + 12n + 15x Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-12n' to each side of the equation. 55 + -6n + -12n + 3x = -36 + 12n + -12n + 15x Combine like terms: -6n + -12n = -18n 55 + -18n + 3x = -36 + 12n + -12n + 15x Combine like terms: 12n + -12n = 0 55 + -18n + 3x = -36 + 0 + 15x 55 + -18n + 3x = -36 + 15x Add '-55' to each side of the equation. 55 + -18n + -55 + 3x = -36 + -55 + 15x Reorder the terms: 55 + -55 + -18n + 3x = -36 + -55 + 15x Combine like terms: 55 + -55 = 0 0 + -18n + 3x = -36 + -55 + 15x -18n + 3x = -36 + -55 + 15x Combine like terms: -36 + -55 = -91 -18n + 3x = -91 + 15x Add '-3x' to each side of the equation. -18n + 3x + -3x = -91 + 15x + -3x Combine like terms: 3x + -3x = 0 -18n + 0 = -91 + 15x + -3x -18n = -91 + 15x + -3x Combine like terms: 15x + -3x = 12x -18n = -91 + 12x Divide each side by '-18'. n = 5.055555556 + -0.6666666667x Simplifying n = 5.055555556 + -0.6666666667x
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