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Simplifying -4n + -4(-4n + -7) = 40 + 6n Reorder the terms: -4n + -4(-7 + -4n) = 40 + 6n -4n + (-7 * -4 + -4n * -4) = 40 + 6n -4n + (28 + 16n) = 40 + 6n Reorder the terms: 28 + -4n + 16n = 40 + 6n Combine like terms: -4n + 16n = 12n 28 + 12n = 40 + 6n Solving 28 + 12n = 40 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. 28 + 12n + -6n = 40 + 6n + -6n Combine like terms: 12n + -6n = 6n 28 + 6n = 40 + 6n + -6n Combine like terms: 6n + -6n = 0 28 + 6n = 40 + 0 28 + 6n = 40 Add '-28' to each side of the equation. 28 + -28 + 6n = 40 + -28 Combine like terms: 28 + -28 = 0 0 + 6n = 40 + -28 6n = 40 + -28 Combine like terms: 40 + -28 = 12 6n = 12 Divide each side by '6'. n = 2 Simplifying n = 2
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