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Simplifying 3(n + -1) = 5n + 7 + 2n Reorder the terms: 3(-1 + n) = 5n + 7 + 2n (-1 * 3 + n * 3) = 5n + 7 + 2n (-3 + 3n) = 5n + 7 + 2n Reorder the terms: -3 + 3n = 7 + 5n + 2n Combine like terms: 5n + 2n = 7n -3 + 3n = 7 + 7n Solving -3 + 3n = 7 + 7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7n' to each side of the equation. -3 + 3n + -7n = 7 + 7n + -7n Combine like terms: 3n + -7n = -4n -3 + -4n = 7 + 7n + -7n Combine like terms: 7n + -7n = 0 -3 + -4n = 7 + 0 -3 + -4n = 7 Add '3' to each side of the equation. -3 + 3 + -4n = 7 + 3 Combine like terms: -3 + 3 = 0 0 + -4n = 7 + 3 -4n = 7 + 3 Combine like terms: 7 + 3 = 10 -4n = 10 Divide each side by '-4'. n = -2.5 Simplifying n = -2.5
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