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Simplifying -5(n + 4) + 2(-4n + 1) = 21 Reorder the terms: -5(4 + n) + 2(-4n + 1) = 21 (4 * -5 + n * -5) + 2(-4n + 1) = 21 (-20 + -5n) + 2(-4n + 1) = 21 Reorder the terms: -20 + -5n + 2(1 + -4n) = 21 -20 + -5n + (1 * 2 + -4n * 2) = 21 -20 + -5n + (2 + -8n) = 21 Reorder the terms: -20 + 2 + -5n + -8n = 21 Combine like terms: -20 + 2 = -18 -18 + -5n + -8n = 21 Combine like terms: -5n + -8n = -13n -18 + -13n = 21 Solving -18 + -13n = 21 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + -13n = 21 + 18 Combine like terms: -18 + 18 = 0 0 + -13n = 21 + 18 -13n = 21 + 18 Combine like terms: 21 + 18 = 39 -13n = 39 Divide each side by '-13'. n = -3 Simplifying n = -3
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