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Simplifying -7(-2n + -4) = 5(n + -3) + -6 Reorder the terms: -7(-4 + -2n) = 5(n + -3) + -6 (-4 * -7 + -2n * -7) = 5(n + -3) + -6 (28 + 14n) = 5(n + -3) + -6 Reorder the terms: 28 + 14n = 5(-3 + n) + -6 28 + 14n = (-3 * 5 + n * 5) + -6 28 + 14n = (-15 + 5n) + -6 Reorder the terms: 28 + 14n = -15 + -6 + 5n Combine like terms: -15 + -6 = -21 28 + 14n = -21 + 5n Solving 28 + 14n = -21 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. 28 + 14n + -5n = -21 + 5n + -5n Combine like terms: 14n + -5n = 9n 28 + 9n = -21 + 5n + -5n Combine like terms: 5n + -5n = 0 28 + 9n = -21 + 0 28 + 9n = -21 Add '-28' to each side of the equation. 28 + -28 + 9n = -21 + -28 Combine like terms: 28 + -28 = 0 0 + 9n = -21 + -28 9n = -21 + -28 Combine like terms: -21 + -28 = -49 9n = -49 Divide each side by '9'. n = -5.444444444 Simplifying n = -5.444444444
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