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Simplifying n + -7 + -1 = -1(n + 8) + 3(n + -2) Reorder the terms: -7 + -1 + n = -1(n + 8) + 3(n + -2) Combine like terms: -7 + -1 = -8 -8 + n = -1(n + 8) + 3(n + -2) Reorder the terms: -8 + n = -1(8 + n) + 3(n + -2) -8 + n = (8 * -1 + n * -1) + 3(n + -2) -8 + n = (-8 + -1n) + 3(n + -2) Reorder the terms: -8 + n = -8 + -1n + 3(-2 + n) -8 + n = -8 + -1n + (-2 * 3 + n * 3) -8 + n = -8 + -1n + (-6 + 3n) Reorder the terms: -8 + n = -8 + -6 + -1n + 3n Combine like terms: -8 + -6 = -14 -8 + n = -14 + -1n + 3n Combine like terms: -1n + 3n = 2n -8 + n = -14 + 2n Solving -8 + n = -14 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. -8 + n + -2n = -14 + 2n + -2n Combine like terms: n + -2n = -1n -8 + -1n = -14 + 2n + -2n Combine like terms: 2n + -2n = 0 -8 + -1n = -14 + 0 -8 + -1n = -14 Add '8' to each side of the equation. -8 + 8 + -1n = -14 + 8 Combine like terms: -8 + 8 = 0 0 + -1n = -14 + 8 -1n = -14 + 8 Combine like terms: -14 + 8 = -6 -1n = -6 Divide each side by '-1'. n = 6 Simplifying n = 6
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