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Simplifying -2(4n + 1) = -37 + -3n Reorder the terms: -2(1 + 4n) = -37 + -3n (1 * -2 + 4n * -2) = -37 + -3n (-2 + -8n) = -37 + -3n Solving -2 + -8n = -37 + -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. -2 + -8n + 3n = -37 + -3n + 3n Combine like terms: -8n + 3n = -5n -2 + -5n = -37 + -3n + 3n Combine like terms: -3n + 3n = 0 -2 + -5n = -37 + 0 -2 + -5n = -37 Add '2' to each side of the equation. -2 + 2 + -5n = -37 + 2 Combine like terms: -2 + 2 = 0 0 + -5n = -37 + 2 -5n = -37 + 2 Combine like terms: -37 + 2 = -35 -5n = -35 Divide each side by '-5'. n = 7 Simplifying n = 7
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