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Simplifying 2(n + -4) + 7n + -3 = 7 + 11n Reorder the terms: 2(-4 + n) + 7n + -3 = 7 + 11n (-4 * 2 + n * 2) + 7n + -3 = 7 + 11n (-8 + 2n) + 7n + -3 = 7 + 11n Reorder the terms: -8 + -3 + 2n + 7n = 7 + 11n Combine like terms: -8 + -3 = -11 -11 + 2n + 7n = 7 + 11n Combine like terms: 2n + 7n = 9n -11 + 9n = 7 + 11n Solving -11 + 9n = 7 + 11n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-11n' to each side of the equation. -11 + 9n + -11n = 7 + 11n + -11n Combine like terms: 9n + -11n = -2n -11 + -2n = 7 + 11n + -11n Combine like terms: 11n + -11n = 0 -11 + -2n = 7 + 0 -11 + -2n = 7 Add '11' to each side of the equation. -11 + 11 + -2n = 7 + 11 Combine like terms: -11 + 11 = 0 0 + -2n = 7 + 11 -2n = 7 + 11 Combine like terms: 7 + 11 = 18 -2n = 18 Divide each side by '-2'. n = -9 Simplifying n = -9
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