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Simplifying -1(-3n + -7) + -3(n + 7) = 1 + -2n + 4n + -9 Reorder the terms: -1(-7 + -3n) + -3(n + 7) = 1 + -2n + 4n + -9 (-7 * -1 + -3n * -1) + -3(n + 7) = 1 + -2n + 4n + -9 (7 + 3n) + -3(n + 7) = 1 + -2n + 4n + -9 Reorder the terms: 7 + 3n + -3(7 + n) = 1 + -2n + 4n + -9 7 + 3n + (7 * -3 + n * -3) = 1 + -2n + 4n + -9 7 + 3n + (-21 + -3n) = 1 + -2n + 4n + -9 Reorder the terms: 7 + -21 + 3n + -3n = 1 + -2n + 4n + -9 Combine like terms: 7 + -21 = -14 -14 + 3n + -3n = 1 + -2n + 4n + -9 Combine like terms: 3n + -3n = 0 -14 + 0 = 1 + -2n + 4n + -9 -14 = 1 + -2n + 4n + -9 Reorder the terms: -14 = 1 + -9 + -2n + 4n Combine like terms: 1 + -9 = -8 -14 = -8 + -2n + 4n Combine like terms: -2n + 4n = 2n -14 = -8 + 2n Solving -14 = -8 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. -14 + -2n = -8 + 2n + -2n Combine like terms: 2n + -2n = 0 -14 + -2n = -8 + 0 -14 + -2n = -8 Add '14' to each side of the equation. -14 + 14 + -2n = -8 + 14 Combine like terms: -14 + 14 = 0 0 + -2n = -8 + 14 -2n = -8 + 14 Combine like terms: -8 + 14 = 6 -2n = 6 Divide each side by '-2'. n = -3 Simplifying n = -3
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