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Simplifying 3x + 3(1 + -1n) + -1n = -6 3x + (1 * 3 + -1n * 3) + -1n = -6 3x + (3 + -3n) + -1n = -6 Reorder the terms: 3 + -3n + -1n + 3x = -6 Combine like terms: -3n + -1n = -4n 3 + -4n + 3x = -6 Solving 3 + -4n + 3x = -6 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -4n + -3 + 3x = -6 + -3 Reorder the terms: 3 + -3 + -4n + 3x = -6 + -3 Combine like terms: 3 + -3 = 0 0 + -4n + 3x = -6 + -3 -4n + 3x = -6 + -3 Combine like terms: -6 + -3 = -9 -4n + 3x = -9 Add '-3x' to each side of the equation. -4n + 3x + -3x = -9 + -3x Combine like terms: 3x + -3x = 0 -4n + 0 = -9 + -3x -4n = -9 + -3x Divide each side by '-4'. n = 2.25 + 0.75x Simplifying n = 2.25 + 0.75x
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