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Simplifying 7 + -9(-4n) = 4n + -14 + -21n Remove parenthesis around (-4n) 7 + -9 * -4n = 4n + -14 + -21n Multiply -9 * -4 7 + 36n = 4n + -14 + -21n Reorder the terms: 7 + 36n = -14 + 4n + -21n Combine like terms: 4n + -21n = -17n 7 + 36n = -14 + -17n Solving 7 + 36n = -14 + -17n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '17n' to each side of the equation. 7 + 36n + 17n = -14 + -17n + 17n Combine like terms: 36n + 17n = 53n 7 + 53n = -14 + -17n + 17n Combine like terms: -17n + 17n = 0 7 + 53n = -14 + 0 7 + 53n = -14 Add '-7' to each side of the equation. 7 + -7 + 53n = -14 + -7 Combine like terms: 7 + -7 = 0 0 + 53n = -14 + -7 53n = -14 + -7 Combine like terms: -14 + -7 = -21 53n = -21 Divide each side by '53'. n = -0.3962264151 Simplifying n = -0.3962264151
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