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Simplifying 3 + -1(n + -7) = 2n + -1 Reorder the terms: 3 + -1(-7 + n) = 2n + -1 3 + (-7 * -1 + n * -1) = 2n + -1 3 + (7 + -1n) = 2n + -1 Combine like terms: 3 + 7 = 10 10 + -1n = 2n + -1 Reorder the terms: 10 + -1n = -1 + 2n Solving 10 + -1n = -1 + 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. 10 + -1n + -2n = -1 + 2n + -2n Combine like terms: -1n + -2n = -3n 10 + -3n = -1 + 2n + -2n Combine like terms: 2n + -2n = 0 10 + -3n = -1 + 0 10 + -3n = -1 Add '-10' to each side of the equation. 10 + -10 + -3n = -1 + -10 Combine like terms: 10 + -10 = 0 0 + -3n = -1 + -10 -3n = -1 + -10 Combine like terms: -1 + -10 = -11 -3n = -11 Divide each side by '-3'. n = 3.666666667 Simplifying n = 3.666666667
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