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Simplifying 2(n + -7) = -22 + 3n Reorder the terms: 2(-7 + n) = -22 + 3n (-7 * 2 + n * 2) = -22 + 3n (-14 + 2n) = -22 + 3n Solving -14 + 2n = -22 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. -14 + 2n + -3n = -22 + 3n + -3n Combine like terms: 2n + -3n = -1n -14 + -1n = -22 + 3n + -3n Combine like terms: 3n + -3n = 0 -14 + -1n = -22 + 0 -14 + -1n = -22 Add '14' to each side of the equation. -14 + 14 + -1n = -22 + 14 Combine like terms: -14 + 14 = 0 0 + -1n = -22 + 14 -1n = -22 + 14 Combine like terms: -22 + 14 = -8 -1n = -8 Divide each side by '-1'. n = 8 Simplifying n = 8
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