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Simplifying 3(n + -2) + -7 = 2n + 3 + 3n Reorder the terms: 3(-2 + n) + -7 = 2n + 3 + 3n (-2 * 3 + n * 3) + -7 = 2n + 3 + 3n (-6 + 3n) + -7 = 2n + 3 + 3n Reorder the terms: -6 + -7 + 3n = 2n + 3 + 3n Combine like terms: -6 + -7 = -13 -13 + 3n = 2n + 3 + 3n Reorder the terms: -13 + 3n = 3 + 2n + 3n Combine like terms: 2n + 3n = 5n -13 + 3n = 3 + 5n Solving -13 + 3n = 3 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. -13 + 3n + -5n = 3 + 5n + -5n Combine like terms: 3n + -5n = -2n -13 + -2n = 3 + 5n + -5n Combine like terms: 5n + -5n = 0 -13 + -2n = 3 + 0 -13 + -2n = 3 Add '13' to each side of the equation. -13 + 13 + -2n = 3 + 13 Combine like terms: -13 + 13 = 0 0 + -2n = 3 + 13 -2n = 3 + 13 Combine like terms: 3 + 13 = 16 -2n = 16 Divide each side by '-2'. n = -8 Simplifying n = -8
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