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Simplifying -7(n + -3) + -2 = -1(1 + -3n) Reorder the terms: -7(-3 + n) + -2 = -1(1 + -3n) (-3 * -7 + n * -7) + -2 = -1(1 + -3n) (21 + -7n) + -2 = -1(1 + -3n) Reorder the terms: 21 + -2 + -7n = -1(1 + -3n) Combine like terms: 21 + -2 = 19 19 + -7n = -1(1 + -3n) 19 + -7n = (1 * -1 + -3n * -1) 19 + -7n = (-1 + 3n) Solving 19 + -7n = -1 + 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. 19 + -7n + -3n = -1 + 3n + -3n Combine like terms: -7n + -3n = -10n 19 + -10n = -1 + 3n + -3n Combine like terms: 3n + -3n = 0 19 + -10n = -1 + 0 19 + -10n = -1 Add '-19' to each side of the equation. 19 + -19 + -10n = -1 + -19 Combine like terms: 19 + -19 = 0 0 + -10n = -1 + -19 -10n = -1 + -19 Combine like terms: -1 + -19 = -20 -10n = -20 Divide each side by '-10'. n = 2 Simplifying n = 2
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