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Simplifying -2(7n + -2) + -3(4 + 4n) = n + -8 + 5n Reorder the terms: -2(-2 + 7n) + -3(4 + 4n) = n + -8 + 5n (-2 * -2 + 7n * -2) + -3(4 + 4n) = n + -8 + 5n (4 + -14n) + -3(4 + 4n) = n + -8 + 5n 4 + -14n + (4 * -3 + 4n * -3) = n + -8 + 5n 4 + -14n + (-12 + -12n) = n + -8 + 5n Reorder the terms: 4 + -12 + -14n + -12n = n + -8 + 5n Combine like terms: 4 + -12 = -8 -8 + -14n + -12n = n + -8 + 5n Combine like terms: -14n + -12n = -26n -8 + -26n = n + -8 + 5n Reorder the terms: -8 + -26n = -8 + n + 5n Combine like terms: n + 5n = 6n -8 + -26n = -8 + 6n Add '8' to each side of the equation. -8 + 8 + -26n = -8 + 8 + 6n Combine like terms: -8 + 8 = 0 0 + -26n = -8 + 8 + 6n -26n = -8 + 8 + 6n Combine like terms: -8 + 8 = 0 -26n = 0 + 6n -26n = 6n Solving -26n = 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. -26n + -6n = 6n + -6n Combine like terms: -26n + -6n = -32n -32n = 6n + -6n Combine like terms: 6n + -6n = 0 -32n = 0 Divide each side by '-32'. n = 0 Simplifying n = 0
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