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Simplifying 3(5n + -3) + -4n = 13 + 2(n + 7) + -3n Reorder the terms: 3(-3 + 5n) + -4n = 13 + 2(n + 7) + -3n (-3 * 3 + 5n * 3) + -4n = 13 + 2(n + 7) + -3n (-9 + 15n) + -4n = 13 + 2(n + 7) + -3n Combine like terms: 15n + -4n = 11n -9 + 11n = 13 + 2(n + 7) + -3n Reorder the terms: -9 + 11n = 13 + 2(7 + n) + -3n -9 + 11n = 13 + (7 * 2 + n * 2) + -3n -9 + 11n = 13 + (14 + 2n) + -3n Combine like terms: 13 + 14 = 27 -9 + 11n = 27 + 2n + -3n Combine like terms: 2n + -3n = -1n -9 + 11n = 27 + -1n Solving -9 + 11n = 27 + -1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add 'n' to each side of the equation. -9 + 11n + n = 27 + -1n + n Combine like terms: 11n + n = 12n -9 + 12n = 27 + -1n + n Combine like terms: -1n + n = 0 -9 + 12n = 27 + 0 -9 + 12n = 27 Add '9' to each side of the equation. -9 + 9 + 12n = 27 + 9 Combine like terms: -9 + 9 = 0 0 + 12n = 27 + 9 12n = 27 + 9 Combine like terms: 27 + 9 = 36 12n = 36 Divide each side by '12'. n = 3 Simplifying n = 3
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