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Simplifying -6(n + 2) + 1 = 13 + -1(n + 4) Reorder the terms: -6(2 + n) + 1 = 13 + -1(n + 4) (2 * -6 + n * -6) + 1 = 13 + -1(n + 4) (-12 + -6n) + 1 = 13 + -1(n + 4) Reorder the terms: -12 + 1 + -6n = 13 + -1(n + 4) Combine like terms: -12 + 1 = -11 -11 + -6n = 13 + -1(n + 4) Reorder the terms: -11 + -6n = 13 + -1(4 + n) -11 + -6n = 13 + (4 * -1 + n * -1) -11 + -6n = 13 + (-4 + -1n) Combine like terms: 13 + -4 = 9 -11 + -6n = 9 + -1n Solving -11 + -6n = 9 + -1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add 'n' to each side of the equation. -11 + -6n + n = 9 + -1n + n Combine like terms: -6n + n = -5n -11 + -5n = 9 + -1n + n Combine like terms: -1n + n = 0 -11 + -5n = 9 + 0 -11 + -5n = 9 Add '11' to each side of the equation. -11 + 11 + -5n = 9 + 11 Combine like terms: -11 + 11 = 0 0 + -5n = 9 + 11 -5n = 9 + 11 Combine like terms: 9 + 11 = 20 -5n = 20 Divide each side by '-5'. n = -4 Simplifying n = -4
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