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Simplifying 4(-8n + -7) + 3(n + 4) = 13 Reorder the terms: 4(-7 + -8n) + 3(n + 4) = 13 (-7 * 4 + -8n * 4) + 3(n + 4) = 13 (-28 + -32n) + 3(n + 4) = 13 Reorder the terms: -28 + -32n + 3(4 + n) = 13 -28 + -32n + (4 * 3 + n * 3) = 13 -28 + -32n + (12 + 3n) = 13 Reorder the terms: -28 + 12 + -32n + 3n = 13 Combine like terms: -28 + 12 = -16 -16 + -32n + 3n = 13 Combine like terms: -32n + 3n = -29n -16 + -29n = 13 Solving -16 + -29n = 13 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + -29n = 13 + 16 Combine like terms: -16 + 16 = 0 0 + -29n = 13 + 16 -29n = 13 + 16 Combine like terms: 13 + 16 = 29 -29n = 29 Divide each side by '-29'. n = -1 Simplifying n = -1
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