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Simplifying 7n + -1(4n + 16) = 7 + -1(3n + -2) Reorder the terms: 7n + -1(16 + 4n) = 7 + -1(3n + -2) 7n + (16 * -1 + 4n * -1) = 7 + -1(3n + -2) 7n + (-16 + -4n) = 7 + -1(3n + -2) Reorder the terms: -16 + 7n + -4n = 7 + -1(3n + -2) Combine like terms: 7n + -4n = 3n -16 + 3n = 7 + -1(3n + -2) Reorder the terms: -16 + 3n = 7 + -1(-2 + 3n) -16 + 3n = 7 + (-2 * -1 + 3n * -1) -16 + 3n = 7 + (2 + -3n) Combine like terms: 7 + 2 = 9 -16 + 3n = 9 + -3n Solving -16 + 3n = 9 + -3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '3n' to each side of the equation. -16 + 3n + 3n = 9 + -3n + 3n Combine like terms: 3n + 3n = 6n -16 + 6n = 9 + -3n + 3n Combine like terms: -3n + 3n = 0 -16 + 6n = 9 + 0 -16 + 6n = 9 Add '16' to each side of the equation. -16 + 16 + 6n = 9 + 16 Combine like terms: -16 + 16 = 0 0 + 6n = 9 + 16 6n = 9 + 16 Combine like terms: 9 + 16 = 25 6n = 25 Divide each side by '6'. n = 4.166666667 Simplifying n = 4.166666667
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