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Simplifying 1(2n + 6) = 5n + -12 + -1n Reorder the terms: 1(6 + 2n) = 5n + -12 + -1n (6 * 1 + 2n * 1) = 5n + -12 + -1n (6 + 2n) = 5n + -12 + -1n Reorder the terms: 6 + 2n = -12 + 5n + -1n Combine like terms: 5n + -1n = 4n 6 + 2n = -12 + 4n Solving 6 + 2n = -12 + 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. 6 + 2n + -4n = -12 + 4n + -4n Combine like terms: 2n + -4n = -2n 6 + -2n = -12 + 4n + -4n Combine like terms: 4n + -4n = 0 6 + -2n = -12 + 0 6 + -2n = -12 Add '-6' to each side of the equation. 6 + -6 + -2n = -12 + -6 Combine like terms: 6 + -6 = 0 0 + -2n = -12 + -6 -2n = -12 + -6 Combine like terms: -12 + -6 = -18 -2n = -18 Divide each side by '-2'. n = 9 Simplifying n = 9
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