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Simplifying -1(7 + 6n) + 4n = 2n + -7(n + 4) (7 * -1 + 6n * -1) + 4n = 2n + -7(n + 4) (-7 + -6n) + 4n = 2n + -7(n + 4) Combine like terms: -6n + 4n = -2n -7 + -2n = 2n + -7(n + 4) Reorder the terms: -7 + -2n = 2n + -7(4 + n) -7 + -2n = 2n + (4 * -7 + n * -7) -7 + -2n = 2n + (-28 + -7n) Reorder the terms: -7 + -2n = -28 + 2n + -7n Combine like terms: 2n + -7n = -5n -7 + -2n = -28 + -5n Solving -7 + -2n = -28 + -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. -7 + -2n + 5n = -28 + -5n + 5n Combine like terms: -2n + 5n = 3n -7 + 3n = -28 + -5n + 5n Combine like terms: -5n + 5n = 0 -7 + 3n = -28 + 0 -7 + 3n = -28 Add '7' to each side of the equation. -7 + 7 + 3n = -28 + 7 Combine like terms: -7 + 7 = 0 0 + 3n = -28 + 7 3n = -28 + 7 Combine like terms: -28 + 7 = -21 3n = -21 Divide each side by '3'. n = -7 Simplifying n = -7
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