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Simplifying 2(n + -7) + -1(3n + -5) = 6n Reorder the terms: 2(-7 + n) + -1(3n + -5) = 6n (-7 * 2 + n * 2) + -1(3n + -5) = 6n (-14 + 2n) + -1(3n + -5) = 6n Reorder the terms: -14 + 2n + -1(-5 + 3n) = 6n -14 + 2n + (-5 * -1 + 3n * -1) = 6n -14 + 2n + (5 + -3n) = 6n Reorder the terms: -14 + 5 + 2n + -3n = 6n Combine like terms: -14 + 5 = -9 -9 + 2n + -3n = 6n Combine like terms: 2n + -3n = -1n -9 + -1n = 6n Solving -9 + -1n = 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. -9 + -1n + -6n = 6n + -6n Combine like terms: -1n + -6n = -7n -9 + -7n = 6n + -6n Combine like terms: 6n + -6n = 0 -9 + -7n = 0 Add '9' to each side of the equation. -9 + 9 + -7n = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -7n = 0 + 9 -7n = 0 + 9 Combine like terms: 0 + 9 = 9 -7n = 9 Divide each side by '-7'. n = -1.285714286 Simplifying n = -1.285714286
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