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Simplifying -22 + 7n = -1n + 2(3 + 6n) -22 + 7n = -1n + (3 * 2 + 6n * 2) -22 + 7n = -1n + (6 + 12n) Reorder the terms: -22 + 7n = 6 + -1n + 12n Combine like terms: -1n + 12n = 11n -22 + 7n = 6 + 11n Solving -22 + 7n = 6 + 11n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-11n' to each side of the equation. -22 + 7n + -11n = 6 + 11n + -11n Combine like terms: 7n + -11n = -4n -22 + -4n = 6 + 11n + -11n Combine like terms: 11n + -11n = 0 -22 + -4n = 6 + 0 -22 + -4n = 6 Add '22' to each side of the equation. -22 + 22 + -4n = 6 + 22 Combine like terms: -22 + 22 = 0 0 + -4n = 6 + 22 -4n = 6 + 22 Combine like terms: 6 + 22 = 28 -4n = 28 Divide each side by '-4'. n = -7 Simplifying n = -7
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