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Simplifying -7(n + 2) + 17 = -3n + -5 Reorder the terms: -7(2 + n) + 17 = -3n + -5 (2 * -7 + n * -7) + 17 = -3n + -5 (-14 + -7n) + 17 = -3n + -5 Reorder the terms: -14 + 17 + -7n = -3n + -5 Combine like terms: -14 + 17 = 3 3 + -7n = -3n + -5 Reorder the terms: 3 + -7n = -5 + -3n Solving 3 + -7n = -5 + -3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '3n' to each side of the equation. 3 + -7n + 3n = -5 + -3n + 3n Combine like terms: -7n + 3n = -4n 3 + -4n = -5 + -3n + 3n Combine like terms: -3n + 3n = 0 3 + -4n = -5 + 0 3 + -4n = -5 Add '-3' to each side of the equation. 3 + -3 + -4n = -5 + -3 Combine like terms: 3 + -3 = 0 0 + -4n = -5 + -3 -4n = -5 + -3 Combine like terms: -5 + -3 = -8 -4n = -8 Divide each side by '-4'. n = 2 Simplifying n = 2
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