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Simplifying 2(n + -6) = 4n + 1 Reorder the terms: 2(-6 + n) = 4n + 1 (-6 * 2 + n * 2) = 4n + 1 (-12 + 2n) = 4n + 1 Reorder the terms: -12 + 2n = 1 + 4n Solving -12 + 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. -12 + 2n + -4n = 1 + 4n + -4n Combine like terms: 2n + -4n = -2n -12 + -2n = 1 + 4n + -4n Combine like terms: 4n + -4n = 0 -12 + -2n = 1 + 0 -12 + -2n = 1 Add '12' to each side of the equation. -12 + 12 + -2n = 1 + 12 Combine like terms: -12 + 12 = 0 0 + -2n = 1 + 12 -2n = 1 + 12 Combine like terms: 1 + 12 = 13 -2n = 13 Divide each side by '-2'. n = -6.5 Simplifying n = -6.5
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