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Simplifying 6 = 2(n + -7) + 2 Reorder the terms: 6 = 2(-7 + n) + 2 6 = (-7 * 2 + n * 2) + 2 6 = (-14 + 2n) + 2 Reorder the terms: 6 = -14 + 2 + 2n Combine like terms: -14 + 2 = -12 6 = -12 + 2n Solving 6 = -12 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. 6 + -2n = -12 + 2n + -2n Combine like terms: 2n + -2n = 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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