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Simplifying -22 + 3n = -1(1 + -6n) + -6 -22 + 3n = (1 * -1 + -6n * -1) + -6 -22 + 3n = (-1 + 6n) + -6 Reorder the terms: -22 + 3n = -1 + -6 + 6n Combine like terms: -1 + -6 = -7 -22 + 3n = -7 + 6n Solving -22 + 3n = -7 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. -22 + 3n + -6n = -7 + 6n + -6n Combine like terms: 3n + -6n = -3n -22 + -3n = -7 + 6n + -6n Combine like terms: 6n + -6n = 0 -22 + -3n = -7 + 0 -22 + -3n = -7 Add '22' to each side of the equation. -22 + 22 + -3n = -7 + 22 Combine like terms: -22 + 22 = 0 0 + -3n = -7 + 22 -3n = -7 + 22 Combine like terms: -7 + 22 = 15 -3n = 15 Divide each side by '-3'. n = -5 Simplifying n = -5
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