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Simplifying -2(8n + -1) + -7(-1n + 5) = 1 + -3n + 2 + -3n Reorder the terms: -2(-1 + 8n) + -7(-1n + 5) = 1 + -3n + 2 + -3n (-1 * -2 + 8n * -2) + -7(-1n + 5) = 1 + -3n + 2 + -3n (2 + -16n) + -7(-1n + 5) = 1 + -3n + 2 + -3n Reorder the terms: 2 + -16n + -7(5 + -1n) = 1 + -3n + 2 + -3n 2 + -16n + (5 * -7 + -1n * -7) = 1 + -3n + 2 + -3n 2 + -16n + (-35 + 7n) = 1 + -3n + 2 + -3n Reorder the terms: 2 + -35 + -16n + 7n = 1 + -3n + 2 + -3n Combine like terms: 2 + -35 = -33 -33 + -16n + 7n = 1 + -3n + 2 + -3n Combine like terms: -16n + 7n = -9n -33 + -9n = 1 + -3n + 2 + -3n Reorder the terms: -33 + -9n = 1 + 2 + -3n + -3n Combine like terms: 1 + 2 = 3 -33 + -9n = 3 + -3n + -3n Combine like terms: -3n + -3n = -6n -33 + -9n = 3 + -6n Solving -33 + -9n = 3 + -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. -33 + -9n + 6n = 3 + -6n + 6n Combine like terms: -9n + 6n = -3n -33 + -3n = 3 + -6n + 6n Combine like terms: -6n + 6n = 0 -33 + -3n = 3 + 0 -33 + -3n = 3 Add '33' to each side of the equation. -33 + 33 + -3n = 3 + 33 Combine like terms: -33 + 33 = 0 0 + -3n = 3 + 33 -3n = 3 + 33 Combine like terms: 3 + 33 = 36 -3n = 36 Divide each side by '-3'. n = -12 Simplifying n = -12
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