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Simplifying -7n + 7(-2n + -1) = -35 + -7n Reorder the terms: -7n + 7(-1 + -2n) = -35 + -7n -7n + (-1 * 7 + -2n * 7) = -35 + -7n -7n + (-7 + -14n) = -35 + -7n Reorder the terms: -7 + -7n + -14n = -35 + -7n Combine like terms: -7n + -14n = -21n -7 + -21n = -35 + -7n Solving -7 + -21n = -35 + -7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '7n' to each side of the equation. -7 + -21n + 7n = -35 + -7n + 7n Combine like terms: -21n + 7n = -14n -7 + -14n = -35 + -7n + 7n Combine like terms: -7n + 7n = 0 -7 + -14n = -35 + 0 -7 + -14n = -35 Add '7' to each side of the equation. -7 + 7 + -14n = -35 + 7 Combine like terms: -7 + 7 = 0 0 + -14n = -35 + 7 -14n = -35 + 7 Combine like terms: -35 + 7 = -28 -14n = -28 Divide each side by '-14'. n = 2 Simplifying n = 2
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