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Simplifying -1(5 + 4n) + 8(n + -3) = -49 (5 * -1 + 4n * -1) + 8(n + -3) = -49 (-5 + -4n) + 8(n + -3) = -49 Reorder the terms: -5 + -4n + 8(-3 + n) = -49 -5 + -4n + (-3 * 8 + n * 8) = -49 -5 + -4n + (-24 + 8n) = -49 Reorder the terms: -5 + -24 + -4n + 8n = -49 Combine like terms: -5 + -24 = -29 -29 + -4n + 8n = -49 Combine like terms: -4n + 8n = 4n -29 + 4n = -49 Solving -29 + 4n = -49 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '29' to each side of the equation. -29 + 29 + 4n = -49 + 29 Combine like terms: -29 + 29 = 0 0 + 4n = -49 + 29 4n = -49 + 29 Combine like terms: -49 + 29 = -20 4n = -20 Divide each side by '4'. n = -5 Simplifying n = -5
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