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Simplifying 4(n + -8) + 4(n + -6) = 3n + 1 + -2 Reorder the terms: 4(-8 + n) + 4(n + -6) = 3n + 1 + -2 (-8 * 4 + n * 4) + 4(n + -6) = 3n + 1 + -2 (-32 + 4n) + 4(n + -6) = 3n + 1 + -2 Reorder the terms: -32 + 4n + 4(-6 + n) = 3n + 1 + -2 -32 + 4n + (-6 * 4 + n * 4) = 3n + 1 + -2 -32 + 4n + (-24 + 4n) = 3n + 1 + -2 Reorder the terms: -32 + -24 + 4n + 4n = 3n + 1 + -2 Combine like terms: -32 + -24 = -56 -56 + 4n + 4n = 3n + 1 + -2 Combine like terms: 4n + 4n = 8n -56 + 8n = 3n + 1 + -2 Reorder the terms: -56 + 8n = 1 + -2 + 3n Combine like terms: 1 + -2 = -1 -56 + 8n = -1 + 3n Solving -56 + 8n = -1 + 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. -56 + 8n + -3n = -1 + 3n + -3n Combine like terms: 8n + -3n = 5n -56 + 5n = -1 + 3n + -3n Combine like terms: 3n + -3n = 0 -56 + 5n = -1 + 0 -56 + 5n = -1 Add '56' to each side of the equation. -56 + 56 + 5n = -1 + 56 Combine like terms: -56 + 56 = 0 0 + 5n = -1 + 56 5n = -1 + 56 Combine like terms: -1 + 56 = 55 5n = 55 Divide each side by '5'. n = 11 Simplifying n = 11
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