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Simplifying -5(n + -8) + -2(6 + -1n) = 7 + -8n + n + 1 Reorder the terms: -5(-8 + n) + -2(6 + -1n) = 7 + -8n + n + 1 (-8 * -5 + n * -5) + -2(6 + -1n) = 7 + -8n + n + 1 (40 + -5n) + -2(6 + -1n) = 7 + -8n + n + 1 40 + -5n + (6 * -2 + -1n * -2) = 7 + -8n + n + 1 40 + -5n + (-12 + 2n) = 7 + -8n + n + 1 Reorder the terms: 40 + -12 + -5n + 2n = 7 + -8n + n + 1 Combine like terms: 40 + -12 = 28 28 + -5n + 2n = 7 + -8n + n + 1 Combine like terms: -5n + 2n = -3n 28 + -3n = 7 + -8n + n + 1 Reorder the terms: 28 + -3n = 7 + 1 + -8n + n Combine like terms: 7 + 1 = 8 28 + -3n = 8 + -8n + n Combine like terms: -8n + n = -7n 28 + -3n = 8 + -7n Solving 28 + -3n = 8 + -7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '7n' to each side of the equation. 28 + -3n + 7n = 8 + -7n + 7n Combine like terms: -3n + 7n = 4n 28 + 4n = 8 + -7n + 7n Combine like terms: -7n + 7n = 0 28 + 4n = 8 + 0 28 + 4n = 8 Add '-28' to each side of the equation. 28 + -28 + 4n = 8 + -28 Combine like terms: 28 + -28 = 0 0 + 4n = 8 + -28 4n = 8 + -28 Combine like terms: 8 + -28 = -20 4n = -20 Divide each side by '4'. n = -5 Simplifying n = -5
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