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Simplifying 5 + -5n = -1(7 + 2n) 5 + -5n = (7 * -1 + 2n * -1) 5 + -5n = (-7 + -2n) Solving 5 + -5n = -7 + -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. 5 + -5n + 2n = -7 + -2n + 2n Combine like terms: -5n + 2n = -3n 5 + -3n = -7 + -2n + 2n Combine like terms: -2n + 2n = 0 5 + -3n = -7 + 0 5 + -3n = -7 Add '-5' to each side of the equation. 5 + -5 + -3n = -7 + -5 Combine like terms: 5 + -5 = 0 0 + -3n = -7 + -5 -3n = -7 + -5 Combine like terms: -7 + -5 = -12 -3n = -12 Divide each side by '-3'. n = 4 Simplifying n = 4
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