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Simplifying 2(2n + -1) = (8n + 3) + 1 Reorder the terms: 2(-1 + 2n) = (8n + 3) + 1 (-1 * 2 + 2n * 2) = (8n + 3) + 1 (-2 + 4n) = (8n + 3) + 1 Reorder the terms: -2 + 4n = (3 + 8n) + 1 Remove parenthesis around (3 + 8n) -2 + 4n = 3 + 8n + 1 Reorder the terms: -2 + 4n = 3 + 1 + 8n Combine like terms: 3 + 1 = 4 -2 + 4n = 4 + 8n Solving -2 + 4n = 4 + 8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-8n' to each side of the equation. -2 + 4n + -8n = 4 + 8n + -8n Combine like terms: 4n + -8n = -4n -2 + -4n = 4 + 8n + -8n Combine like terms: 8n + -8n = 0 -2 + -4n = 4 + 0 -2 + -4n = 4 Add '2' to each side of the equation. -2 + 2 + -4n = 4 + 2 Combine like terms: -2 + 2 = 0 0 + -4n = 4 + 2 -4n = 4 + 2 Combine like terms: 4 + 2 = 6 -4n = 6 Divide each side by '-4'. n = -1.5 Simplifying n = -1.5
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