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Simplifying -5(n + -2) = -3(n + 7) Reorder the terms: -5(-2 + n) = -3(n + 7) (-2 * -5 + n * -5) = -3(n + 7) (10 + -5n) = -3(n + 7) Reorder the terms: 10 + -5n = -3(7 + n) 10 + -5n = (7 * -3 + n * -3) 10 + -5n = (-21 + -3n) Solving 10 + -5n = -21 + -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. 10 + -5n + 3n = -21 + -3n + 3n Combine like terms: -5n + 3n = -2n 10 + -2n = -21 + -3n + 3n Combine like terms: -3n + 3n = 0 10 + -2n = -21 + 0 10 + -2n = -21 Add '-10' to each side of the equation. 10 + -10 + -2n = -21 + -10 Combine like terms: 10 + -10 = 0 0 + -2n = -21 + -10 -2n = -21 + -10 Combine like terms: -21 + -10 = -31 -2n = -31 Divide each side by '-2'. n = 15.5 Simplifying n = 15.5
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