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Simplifying -2(5 + -1n) = -7 + 5n (5 * -2 + -1n * -2) = -7 + 5n (-10 + 2n) = -7 + 5n Solving -10 + 2n = -7 + 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. -10 + 2n + -5n = -7 + 5n + -5n Combine like terms: 2n + -5n = -3n -10 + -3n = -7 + 5n + -5n Combine like terms: 5n + -5n = 0 -10 + -3n = -7 + 0 -10 + -3n = -7 Add '10' to each side of the equation. -10 + 10 + -3n = -7 + 10 Combine like terms: -10 + 10 = 0 0 + -3n = -7 + 10 -3n = -7 + 10 Combine like terms: -7 + 10 = 3 -3n = 3 Divide each side by '-3'. n = -1 Simplifying n = -1
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