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Simplifying 5(n + -3) + 7(3n + -7) = 14 Reorder the terms: 5(-3 + n) + 7(3n + -7) = 14 (-3 * 5 + n * 5) + 7(3n + -7) = 14 (-15 + 5n) + 7(3n + -7) = 14 Reorder the terms: -15 + 5n + 7(-7 + 3n) = 14 -15 + 5n + (-7 * 7 + 3n * 7) = 14 -15 + 5n + (-49 + 21n) = 14 Reorder the terms: -15 + -49 + 5n + 21n = 14 Combine like terms: -15 + -49 = -64 -64 + 5n + 21n = 14 Combine like terms: 5n + 21n = 26n -64 + 26n = 14 Solving -64 + 26n = 14 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '64' to each side of the equation. -64 + 64 + 26n = 14 + 64 Combine like terms: -64 + 64 = 0 0 + 26n = 14 + 64 26n = 14 + 64 Combine like terms: 14 + 64 = 78 26n = 78 Divide each side by '26'. n = 3 Simplifying n = 3
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