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Simplifying -2(7n + 7) = -4(n + -4) + -5n Reorder the terms: -2(7 + 7n) = -4(n + -4) + -5n (7 * -2 + 7n * -2) = -4(n + -4) + -5n (-14 + -14n) = -4(n + -4) + -5n Reorder the terms: -14 + -14n = -4(-4 + n) + -5n -14 + -14n = (-4 * -4 + n * -4) + -5n -14 + -14n = (16 + -4n) + -5n Combine like terms: -4n + -5n = -9n -14 + -14n = 16 + -9n Solving -14 + -14n = 16 + -9n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '9n' to each side of the equation. -14 + -14n + 9n = 16 + -9n + 9n Combine like terms: -14n + 9n = -5n -14 + -5n = 16 + -9n + 9n Combine like terms: -9n + 9n = 0 -14 + -5n = 16 + 0 -14 + -5n = 16 Add '14' to each side of the equation. -14 + 14 + -5n = 16 + 14 Combine like terms: -14 + 14 = 0 0 + -5n = 16 + 14 -5n = 16 + 14 Combine like terms: 16 + 14 = 30 -5n = 30 Divide each side by '-5'. n = -6 Simplifying n = -6
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