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Simplifying -2 + -6(6 + -5n) = 4 + 3(n + -5) -2 + (6 * -6 + -5n * -6) = 4 + 3(n + -5) -2 + (-36 + 30n) = 4 + 3(n + -5) Combine like terms: -2 + -36 = -38 -38 + 30n = 4 + 3(n + -5) Reorder the terms: -38 + 30n = 4 + 3(-5 + n) -38 + 30n = 4 + (-5 * 3 + n * 3) -38 + 30n = 4 + (-15 + 3n) Combine like terms: 4 + -15 = -11 -38 + 30n = -11 + 3n Solving -38 + 30n = -11 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. -38 + 30n + -3n = -11 + 3n + -3n Combine like terms: 30n + -3n = 27n -38 + 27n = -11 + 3n + -3n Combine like terms: 3n + -3n = 0 -38 + 27n = -11 + 0 -38 + 27n = -11 Add '38' to each side of the equation. -38 + 38 + 27n = -11 + 38 Combine like terms: -38 + 38 = 0 0 + 27n = -11 + 38 27n = -11 + 38 Combine like terms: -11 + 38 = 27 27n = 27 Divide each side by '27'. n = 1 Simplifying n = 1
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