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Simplifying 7(n + 5) = 3(4n + -2) Reorder the terms: 7(5 + n) = 3(4n + -2) (5 * 7 + n * 7) = 3(4n + -2) (35 + 7n) = 3(4n + -2) Reorder the terms: 35 + 7n = 3(-2 + 4n) 35 + 7n = (-2 * 3 + 4n * 3) 35 + 7n = (-6 + 12n) Solving 35 + 7n = -6 + 12n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-12n' to each side of the equation. 35 + 7n + -12n = -6 + 12n + -12n Combine like terms: 7n + -12n = -5n 35 + -5n = -6 + 12n + -12n Combine like terms: 12n + -12n = 0 35 + -5n = -6 + 0 35 + -5n = -6 Add '-35' to each side of the equation. 35 + -35 + -5n = -6 + -35 Combine like terms: 35 + -35 = 0 0 + -5n = -6 + -35 -5n = -6 + -35 Combine like terms: -6 + -35 = -41 -5n = -41 Divide each side by '-5'. n = 8.2 Simplifying n = 8.2
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