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Simplifying -5(n + 2) = 55(n + 6) Reorder the terms: -5(2 + n) = 55(n + 6) (2 * -5 + n * -5) = 55(n + 6) (-10 + -5n) = 55(n + 6) Reorder the terms: -10 + -5n = 55(6 + n) -10 + -5n = (6 * 55 + n * 55) -10 + -5n = (330 + 55n) Solving -10 + -5n = 330 + 55n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-55n' to each side of the equation. -10 + -5n + -55n = 330 + 55n + -55n Combine like terms: -5n + -55n = -60n -10 + -60n = 330 + 55n + -55n Combine like terms: 55n + -55n = 0 -10 + -60n = 330 + 0 -10 + -60n = 330 Add '10' to each side of the equation. -10 + 10 + -60n = 330 + 10 Combine like terms: -10 + 10 = 0 0 + -60n = 330 + 10 -60n = 330 + 10 Combine like terms: 330 + 10 = 340 -60n = 340 Divide each side by '-60'. n = -5.666666667 Simplifying n = -5.666666667
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