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Simplifying -22 + -3n = -5(1 + n) + -3 -22 + -3n = (1 * -5 + n * -5) + -3 -22 + -3n = (-5 + -5n) + -3 Reorder the terms: -22 + -3n = -5 + -3 + -5n Combine like terms: -5 + -3 = -8 -22 + -3n = -8 + -5n Solving -22 + -3n = -8 + -5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '5n' to each side of the equation. -22 + -3n + 5n = -8 + -5n + 5n Combine like terms: -3n + 5n = 2n -22 + 2n = -8 + -5n + 5n Combine like terms: -5n + 5n = 0 -22 + 2n = -8 + 0 -22 + 2n = -8 Add '22' to each side of the equation. -22 + 22 + 2n = -8 + 22 Combine like terms: -22 + 22 = 0 0 + 2n = -8 + 22 2n = -8 + 22 Combine like terms: -8 + 22 = 14 2n = 14 Divide each side by '2'. n = 7 Simplifying n = 7
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