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Simplifying 2(n + -8) = 2(n + -7) + -1n Reorder the terms: 2(-8 + n) = 2(n + -7) + -1n (-8 * 2 + n * 2) = 2(n + -7) + -1n (-16 + 2n) = 2(n + -7) + -1n Reorder the terms: -16 + 2n = 2(-7 + n) + -1n -16 + 2n = (-7 * 2 + n * 2) + -1n -16 + 2n = (-14 + 2n) + -1n Combine like terms: 2n + -1n = 1n -16 + 2n = -14 + 1n Solving -16 + 2n = -14 + 1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1n' to each side of the equation. -16 + 2n + -1n = -14 + 1n + -1n Combine like terms: 2n + -1n = 1n -16 + 1n = -14 + 1n + -1n Combine like terms: 1n + -1n = 0 -16 + 1n = -14 + 0 -16 + 1n = -14 Add '16' to each side of the equation. -16 + 16 + 1n = -14 + 16 Combine like terms: -16 + 16 = 0 0 + 1n = -14 + 16 1n = -14 + 16 Combine like terms: -14 + 16 = 2 1n = 2 Divide each side by '1'. n = 2 Simplifying n = 2
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