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Simplifying 3x + -7 = 3(x + -1n) + 2 Reorder the terms: -7 + 3x = 3(x + -1n) + 2 Reorder the terms: -7 + 3x = 3(-1n + x) + 2 -7 + 3x = (-1n * 3 + x * 3) + 2 -7 + 3x = (-3n + 3x) + 2 Reorder the terms: -7 + 3x = 2 + -3n + 3x Add '-3x' to each side of the equation. -7 + 3x + -3x = 2 + -3n + 3x + -3x Combine like terms: 3x + -3x = 0 -7 + 0 = 2 + -3n + 3x + -3x -7 = 2 + -3n + 3x + -3x Combine like terms: 3x + -3x = 0 -7 = 2 + -3n + 0 -7 = 2 + -3n Solving -7 = 2 + -3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '3n' to each side of the equation. -7 + 3n = 2 + -3n + 3n Combine like terms: -3n + 3n = 0 -7 + 3n = 2 + 0 -7 + 3n = 2 Add '7' to each side of the equation. -7 + 7 + 3n = 2 + 7 Combine like terms: -7 + 7 = 0 0 + 3n = 2 + 7 3n = 2 + 7 Combine like terms: 2 + 7 = 9 3n = 9 Divide each side by '3'. n = 3 Simplifying n = 3
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