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Simplifying -5n + -10 = -1(8n + -1) + -8n Reorder the terms: -10 + -5n = -1(8n + -1) + -8n Reorder the terms: -10 + -5n = -1(-1 + 8n) + -8n -10 + -5n = (-1 * -1 + 8n * -1) + -8n -10 + -5n = (1 + -8n) + -8n Combine like terms: -8n + -8n = -16n -10 + -5n = 1 + -16n Solving -10 + -5n = 1 + -16n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '16n' to each side of the equation. -10 + -5n + 16n = 1 + -16n + 16n Combine like terms: -5n + 16n = 11n -10 + 11n = 1 + -16n + 16n Combine like terms: -16n + 16n = 0 -10 + 11n = 1 + 0 -10 + 11n = 1 Add '10' to each side of the equation. -10 + 10 + 11n = 1 + 10 Combine like terms: -10 + 10 = 0 0 + 11n = 1 + 10 11n = 1 + 10 Combine like terms: 1 + 10 = 11 11n = 11 Divide each side by '11'. n = 1 Simplifying n = 1
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