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Simplifying -7(2n + 5) + -3n = -171 Reorder the terms: -7(5 + 2n) + -3n = -171 (5 * -7 + 2n * -7) + -3n = -171 (-35 + -14n) + -3n = -171 Combine like terms: -14n + -3n = -17n -35 + -17n = -171 Solving -35 + -17n = -171 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '35' to each side of the equation. -35 + 35 + -17n = -171 + 35 Combine like terms: -35 + 35 = 0 0 + -17n = -171 + 35 -17n = -171 + 35 Combine like terms: -171 + 35 = -136 -17n = -136 Divide each side by '-17'. n = 8 Simplifying n = 8
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