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Simplifying n + -1(9x + -10) + 11 = 12n + 3(-2n + -0.333) Reorder the terms: n + -1(-10 + 9x) + 11 = 12n + 3(-2n + -0.333) n + (-10 * -1 + 9x * -1) + 11 = 12n + 3(-2n + -0.333) n + (10 + -9x) + 11 = 12n + 3(-2n + -0.333) Reorder the terms: 10 + 11 + n + -9x = 12n + 3(-2n + -0.333) Combine like terms: 10 + 11 = 21 21 + n + -9x = 12n + 3(-2n + -0.333) Reorder the terms: 21 + n + -9x = 12n + 3(-0.333 + -2n) 21 + n + -9x = 12n + (-0.333 * 3 + -2n * 3) 21 + n + -9x = 12n + (-0.999 + -6n) Reorder the terms: 21 + n + -9x = -0.999 + 12n + -6n Combine like terms: 12n + -6n = 6n 21 + n + -9x = -0.999 + 6n Solving 21 + n + -9x = -0.999 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. 21 + n + -6n + -9x = -0.999 + 6n + -6n Combine like terms: n + -6n = -5n 21 + -5n + -9x = -0.999 + 6n + -6n Combine like terms: 6n + -6n = 0 21 + -5n + -9x = -0.999 + 0 21 + -5n + -9x = -0.999 Add '-21' to each side of the equation. 21 + -5n + -21 + -9x = -0.999 + -21 Reorder the terms: 21 + -21 + -5n + -9x = -0.999 + -21 Combine like terms: 21 + -21 = 0 0 + -5n + -9x = -0.999 + -21 -5n + -9x = -0.999 + -21 Combine like terms: -0.999 + -21 = -21.999 -5n + -9x = -21.999 Add '9x' to each side of the equation. -5n + -9x + 9x = -21.999 + 9x Combine like terms: -9x + 9x = 0 -5n + 0 = -21.999 + 9x -5n = -21.999 + 9x Divide each side by '-5'. n = 4.3998 + -1.8x Simplifying n = 4.3998 + -1.8x
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