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Simplifying -7(n + 2) + 17 = -4n + -12 Reorder the terms: -7(2 + n) + 17 = -4n + -12 (2 * -7 + n * -7) + 17 = -4n + -12 (-14 + -7n) + 17 = -4n + -12 Reorder the terms: -14 + 17 + -7n = -4n + -12 Combine like terms: -14 + 17 = 3 3 + -7n = -4n + -12 Reorder the terms: 3 + -7n = -12 + -4n Solving 3 + -7n = -12 + -4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '4n' to each side of the equation. 3 + -7n + 4n = -12 + -4n + 4n Combine like terms: -7n + 4n = -3n 3 + -3n = -12 + -4n + 4n Combine like terms: -4n + 4n = 0 3 + -3n = -12 + 0 3 + -3n = -12 Add '-3' to each side of the equation. 3 + -3 + -3n = -12 + -3 Combine like terms: 3 + -3 = 0 0 + -3n = -12 + -3 -3n = -12 + -3 Combine like terms: -12 + -3 = -15 -3n = -15 Divide each side by '-3'. n = 5 Simplifying n = 5
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