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Simplifying -3(n + -5) + -1(3n + -1) = -2 + (7n + -3) Reorder the terms: -3(-5 + n) + -1(3n + -1) = -2 + (7n + -3) (-5 * -3 + n * -3) + -1(3n + -1) = -2 + (7n + -3) (15 + -3n) + -1(3n + -1) = -2 + (7n + -3) Reorder the terms: 15 + -3n + -1(-1 + 3n) = -2 + (7n + -3) 15 + -3n + (-1 * -1 + 3n * -1) = -2 + (7n + -3) 15 + -3n + (1 + -3n) = -2 + (7n + -3) Reorder the terms: 15 + 1 + -3n + -3n = -2 + (7n + -3) Combine like terms: 15 + 1 = 16 16 + -3n + -3n = -2 + (7n + -3) Combine like terms: -3n + -3n = -6n 16 + -6n = -2 + (7n + -3) Reorder the terms: 16 + -6n = -2 + (-3 + 7n) Remove parenthesis around (-3 + 7n) 16 + -6n = -2 + -3 + 7n Combine like terms: -2 + -3 = -5 16 + -6n = -5 + 7n Solving 16 + -6n = -5 + 7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7n' to each side of the equation. 16 + -6n + -7n = -5 + 7n + -7n Combine like terms: -6n + -7n = -13n 16 + -13n = -5 + 7n + -7n Combine like terms: 7n + -7n = 0 16 + -13n = -5 + 0 16 + -13n = -5 Add '-16' to each side of the equation. 16 + -16 + -13n = -5 + -16 Combine like terms: 16 + -16 = 0 0 + -13n = -5 + -16 -13n = -5 + -16 Combine like terms: -5 + -16 = -21 -13n = -21 Divide each side by '-13'. n = 1.615384615 Simplifying n = 1.615384615
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