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Simplifying 3n + -2(n + -7) = 2 + 2n Reorder the terms: 3n + -2(-7 + n) = 2 + 2n 3n + (-7 * -2 + n * -2) = 2 + 2n 3n + (14 + -2n) = 2 + 2n Reorder the terms: 14 + 3n + -2n = 2 + 2n Combine like terms: 3n + -2n = 1n 14 + 1n = 2 + 2n Solving 14 + 1n = 2 + 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. 14 + 1n + -2n = 2 + 2n + -2n Combine like terms: 1n + -2n = -1n 14 + -1n = 2 + 2n + -2n Combine like terms: 2n + -2n = 0 14 + -1n = 2 + 0 14 + -1n = 2 Add '-14' to each side of the equation. 14 + -14 + -1n = 2 + -14 Combine like terms: 14 + -14 = 0 0 + -1n = 2 + -14 -1n = 2 + -14 Combine like terms: 2 + -14 = -12 -1n = -12 Divide each side by '-1'. n = 12 Simplifying n = 12
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