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Simplifying -1(3n + 4) + -7 = -2 + -6(n + 6) Reorder the terms: -1(4 + 3n) + -7 = -2 + -6(n + 6) (4 * -1 + 3n * -1) + -7 = -2 + -6(n + 6) (-4 + -3n) + -7 = -2 + -6(n + 6) Reorder the terms: -4 + -7 + -3n = -2 + -6(n + 6) Combine like terms: -4 + -7 = -11 -11 + -3n = -2 + -6(n + 6) Reorder the terms: -11 + -3n = -2 + -6(6 + n) -11 + -3n = -2 + (6 * -6 + n * -6) -11 + -3n = -2 + (-36 + -6n) Combine like terms: -2 + -36 = -38 -11 + -3n = -38 + -6n Solving -11 + -3n = -38 + -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. -11 + -3n + 6n = -38 + -6n + 6n Combine like terms: -3n + 6n = 3n -11 + 3n = -38 + -6n + 6n Combine like terms: -6n + 6n = 0 -11 + 3n = -38 + 0 -11 + 3n = -38 Add '11' to each side of the equation. -11 + 11 + 3n = -38 + 11 Combine like terms: -11 + 11 = 0 0 + 3n = -38 + 11 3n = -38 + 11 Combine like terms: -38 + 11 = -27 3n = -27 Divide each side by '3'. n = -9 Simplifying n = -9
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