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Simplifying -6 + -8(1 + n) = 3(7 + -1n) -6 + (1 * -8 + n * -8) = 3(7 + -1n) -6 + (-8 + -8n) = 3(7 + -1n) Combine like terms: -6 + -8 = -14 -14 + -8n = 3(7 + -1n) -14 + -8n = (7 * 3 + -1n * 3) -14 + -8n = (21 + -3n) Solving -14 + -8n = 21 + -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. -14 + -8n + 3n = 21 + -3n + 3n Combine like terms: -8n + 3n = -5n -14 + -5n = 21 + -3n + 3n Combine like terms: -3n + 3n = 0 -14 + -5n = 21 + 0 -14 + -5n = 21 Add '14' to each side of the equation. -14 + 14 + -5n = 21 + 14 Combine like terms: -14 + 14 = 0 0 + -5n = 21 + 14 -5n = 21 + 14 Combine like terms: 21 + 14 = 35 -5n = 35 Divide each side by '-5'. n = -7 Simplifying n = -7
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