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Simplifying -17 + -6n = -7n + -2(1 + 7n) -17 + -6n = -7n + (1 * -2 + 7n * -2) -17 + -6n = -7n + (-2 + -14n) Reorder the terms: -17 + -6n = -2 + -7n + -14n Combine like terms: -7n + -14n = -21n -17 + -6n = -2 + -21n Solving -17 + -6n = -2 + -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. -17 + -6n + 21n = -2 + -21n + 21n Combine like terms: -6n + 21n = 15n -17 + 15n = -2 + -21n + 21n Combine like terms: -21n + 21n = 0 -17 + 15n = -2 + 0 -17 + 15n = -2 Add '17' to each side of the equation. -17 + 17 + 15n = -2 + 17 Combine like terms: -17 + 17 = 0 0 + 15n = -2 + 17 15n = -2 + 17 Combine like terms: -2 + 17 = 15 15n = 15 Divide each side by '15'. n = 1 Simplifying n = 1
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