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Simplifying -175 = -7(1 + -3n) -175 = (1 * -7 + -3n * -7) -175 = (-7 + 21n) Solving -175 = -7 + 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. -175 + -21n = -7 + 21n + -21n Combine like terms: 21n + -21n = 0 -175 + -21n = -7 + 0 -175 + -21n = -7 Add '175' to each side of the equation. -175 + 175 + -21n = -7 + 175 Combine like terms: -175 + 175 = 0 0 + -21n = -7 + 175 -21n = -7 + 175 Combine like terms: -7 + 175 = 168 -21n = 168 Divide each side by '-21'. n = -8 Simplifying n = -8
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