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Simplifying -7(-1n + 8) + 2(6n + 1) = -2n + 8 + -1n Reorder the terms: -7(8 + -1n) + 2(6n + 1) = -2n + 8 + -1n (8 * -7 + -1n * -7) + 2(6n + 1) = -2n + 8 + -1n (-56 + 7n) + 2(6n + 1) = -2n + 8 + -1n Reorder the terms: -56 + 7n + 2(1 + 6n) = -2n + 8 + -1n -56 + 7n + (1 * 2 + 6n * 2) = -2n + 8 + -1n -56 + 7n + (2 + 12n) = -2n + 8 + -1n Reorder the terms: -56 + 2 + 7n + 12n = -2n + 8 + -1n Combine like terms: -56 + 2 = -54 -54 + 7n + 12n = -2n + 8 + -1n Combine like terms: 7n + 12n = 19n -54 + 19n = -2n + 8 + -1n Reorder the terms: -54 + 19n = 8 + -2n + -1n Combine like terms: -2n + -1n = -3n -54 + 19n = 8 + -3n Solving -54 + 19n = 8 + -3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '3n' to each side of the equation. -54 + 19n + 3n = 8 + -3n + 3n Combine like terms: 19n + 3n = 22n -54 + 22n = 8 + -3n + 3n Combine like terms: -3n + 3n = 0 -54 + 22n = 8 + 0 -54 + 22n = 8 Add '54' to each side of the equation. -54 + 54 + 22n = 8 + 54 Combine like terms: -54 + 54 = 0 0 + 22n = 8 + 54 22n = 8 + 54 Combine like terms: 8 + 54 = 62 22n = 62 Divide each side by '22'. n = 2.818181818 Simplifying n = 2.818181818
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