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Simplifying 7(3n + -1) + -2(2n + 3) = 14 Reorder the terms: 7(-1 + 3n) + -2(2n + 3) = 14 (-1 * 7 + 3n * 7) + -2(2n + 3) = 14 (-7 + 21n) + -2(2n + 3) = 14 Reorder the terms: -7 + 21n + -2(3 + 2n) = 14 -7 + 21n + (3 * -2 + 2n * -2) = 14 -7 + 21n + (-6 + -4n) = 14 Reorder the terms: -7 + -6 + 21n + -4n = 14 Combine like terms: -7 + -6 = -13 -13 + 21n + -4n = 14 Combine like terms: 21n + -4n = 17n -13 + 17n = 14 Solving -13 + 17n = 14 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + 17n = 14 + 13 Combine like terms: -13 + 13 = 0 0 + 17n = 14 + 13 17n = 14 + 13 Combine like terms: 14 + 13 = 27 17n = 27 Divide each side by '17'. n = 1.588235294 Simplifying n = 1.588235294
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