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Simplifying -8n + -1 = -3n + -3(5 + n) Reorder the terms: -1 + -8n = -3n + -3(5 + n) -1 + -8n = -3n + (5 * -3 + n * -3) -1 + -8n = -3n + (-15 + -3n) Reorder the terms: -1 + -8n = -15 + -3n + -3n Combine like terms: -3n + -3n = -6n -1 + -8n = -15 + -6n Solving -1 + -8n = -15 + -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. -1 + -8n + 6n = -15 + -6n + 6n Combine like terms: -8n + 6n = -2n -1 + -2n = -15 + -6n + 6n Combine like terms: -6n + 6n = 0 -1 + -2n = -15 + 0 -1 + -2n = -15 Add '1' to each side of the equation. -1 + 1 + -2n = -15 + 1 Combine like terms: -1 + 1 = 0 0 + -2n = -15 + 1 -2n = -15 + 1 Combine like terms: -15 + 1 = -14 -2n = -14 Divide each side by '-2'. n = 7 Simplifying n = 7
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