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Simplifying 4n + 3n = 7(n + -8) + 4(-4n + 2) Combine like terms: 4n + 3n = 7n 7n = 7(n + -8) + 4(-4n + 2) Reorder the terms: 7n = 7(-8 + n) + 4(-4n + 2) 7n = (-8 * 7 + n * 7) + 4(-4n + 2) 7n = (-56 + 7n) + 4(-4n + 2) Reorder the terms: 7n = -56 + 7n + 4(2 + -4n) 7n = -56 + 7n + (2 * 4 + -4n * 4) 7n = -56 + 7n + (8 + -16n) Reorder the terms: 7n = -56 + 8 + 7n + -16n Combine like terms: -56 + 8 = -48 7n = -48 + 7n + -16n Combine like terms: 7n + -16n = -9n 7n = -48 + -9n Solving 7n = -48 + -9n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '9n' to each side of the equation. 7n + 9n = -48 + -9n + 9n Combine like terms: 7n + 9n = 16n 16n = -48 + -9n + 9n Combine like terms: -9n + 9n = 0 16n = -48 + 0 16n = -48 Divide each side by '16'. n = -3 Simplifying n = -3
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