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Simplifying 2(n + -5) = 4n + 1 Reorder the terms: 2(-5 + n) = 4n + 1 (-5 * 2 + n * 2) = 4n + 1 (-10 + 2n) = 4n + 1 Reorder the terms: -10 + 2n = 1 + 4n Solving -10 + 2n = 1 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. -10 + 2n + -4n = 1 + 4n + -4n Combine like terms: 2n + -4n = -2n -10 + -2n = 1 + 4n + -4n Combine like terms: 4n + -4n = 0 -10 + -2n = 1 + 0 -10 + -2n = 1 Add '10' to each side of the equation. -10 + 10 + -2n = 1 + 10 Combine like terms: -10 + 10 = 0 0 + -2n = 1 + 10 -2n = 1 + 10 Combine like terms: 1 + 10 = 11 -2n = 11 Divide each side by '-2'. n = -5.5 Simplifying n = -5.5
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