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Simplifying -3n + -22 = 3 + -7(1 + 3n) Reorder the terms: -22 + -3n = 3 + -7(1 + 3n) -22 + -3n = 3 + (1 * -7 + 3n * -7) -22 + -3n = 3 + (-7 + -21n) Combine like terms: 3 + -7 = -4 -22 + -3n = -4 + -21n Solving -22 + -3n = -4 + -21n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '21n' to each side of the equation. -22 + -3n + 21n = -4 + -21n + 21n Combine like terms: -3n + 21n = 18n -22 + 18n = -4 + -21n + 21n Combine like terms: -21n + 21n = 0 -22 + 18n = -4 + 0 -22 + 18n = -4 Add '22' to each side of the equation. -22 + 22 + 18n = -4 + 22 Combine like terms: -22 + 22 = 0 0 + 18n = -4 + 22 18n = -4 + 22 Combine like terms: -4 + 22 = 18 18n = 18 Divide each side by '18'. n = 1 Simplifying n = 1
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