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Simplifying 3n + -1(6n + 7) = 7 + -1(7n + -9) Reorder the terms: 3n + -1(7 + 6n) = 7 + -1(7n + -9) 3n + (7 * -1 + 6n * -1) = 7 + -1(7n + -9) 3n + (-7 + -6n) = 7 + -1(7n + -9) Reorder the terms: -7 + 3n + -6n = 7 + -1(7n + -9) Combine like terms: 3n + -6n = -3n -7 + -3n = 7 + -1(7n + -9) Reorder the terms: -7 + -3n = 7 + -1(-9 + 7n) -7 + -3n = 7 + (-9 * -1 + 7n * -1) -7 + -3n = 7 + (9 + -7n) Combine like terms: 7 + 9 = 16 -7 + -3n = 16 + -7n Solving -7 + -3n = 16 + -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. -7 + -3n + 7n = 16 + -7n + 7n Combine like terms: -3n + 7n = 4n -7 + 4n = 16 + -7n + 7n Combine like terms: -7n + 7n = 0 -7 + 4n = 16 + 0 -7 + 4n = 16 Add '7' to each side of the equation. -7 + 7 + 4n = 16 + 7 Combine like terms: -7 + 7 = 0 0 + 4n = 16 + 7 4n = 16 + 7 Combine like terms: 16 + 7 = 23 4n = 23 Divide each side by '4'. n = 5.75 Simplifying n = 5.75
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