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Simplifying 3n + -7 + 2n = 2(n + -1) Reorder the terms: -7 + 3n + 2n = 2(n + -1) Combine like terms: 3n + 2n = 5n -7 + 5n = 2(n + -1) Reorder the terms: -7 + 5n = 2(-1 + n) -7 + 5n = (-1 * 2 + n * 2) -7 + 5n = (-2 + 2n) Solving -7 + 5n = -2 + 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. -7 + 5n + -2n = -2 + 2n + -2n Combine like terms: 5n + -2n = 3n -7 + 3n = -2 + 2n + -2n Combine like terms: 2n + -2n = 0 -7 + 3n = -2 + 0 -7 + 3n = -2 Add '7' to each side of the equation. -7 + 7 + 3n = -2 + 7 Combine like terms: -7 + 7 = 0 0 + 3n = -2 + 7 3n = -2 + 7 Combine like terms: -2 + 7 = 5 3n = 5 Divide each side by '3'. n = 1.666666667 Simplifying n = 1.666666667
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