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Simplifying 4n + -7(4n + -7) = 217 Reorder the terms: 4n + -7(-7 + 4n) = 217 4n + (-7 * -7 + 4n * -7) = 217 4n + (49 + -28n) = 217 Reorder the terms: 49 + 4n + -28n = 217 Combine like terms: 4n + -28n = -24n 49 + -24n = 217 Solving 49 + -24n = 217 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-49' to each side of the equation. 49 + -49 + -24n = 217 + -49 Combine like terms: 49 + -49 = 0 0 + -24n = 217 + -49 -24n = 217 + -49 Combine like terms: 217 + -49 = 168 -24n = 168 Divide each side by '-24'. n = -7 Simplifying n = -7
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