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Simplifying 4n + 22 = 3(6n + -2) Reorder the terms: 22 + 4n = 3(6n + -2) Reorder the terms: 22 + 4n = 3(-2 + 6n) 22 + 4n = (-2 * 3 + 6n * 3) 22 + 4n = (-6 + 18n) Solving 22 + 4n = -6 + 18n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-18n' to each side of the equation. 22 + 4n + -18n = -6 + 18n + -18n Combine like terms: 4n + -18n = -14n 22 + -14n = -6 + 18n + -18n Combine like terms: 18n + -18n = 0 22 + -14n = -6 + 0 22 + -14n = -6 Add '-22' to each side of the equation. 22 + -22 + -14n = -6 + -22 Combine like terms: 22 + -22 = 0 0 + -14n = -6 + -22 -14n = -6 + -22 Combine like terms: -6 + -22 = -28 -14n = -28 Divide each side by '-14'. n = 2 Simplifying n = 2
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