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Simplifying -6(7 + n) + -5 = -2 + 3n (7 * -6 + n * -6) + -5 = -2 + 3n (-42 + -6n) + -5 = -2 + 3n Reorder the terms: -42 + -5 + -6n = -2 + 3n Combine like terms: -42 + -5 = -47 -47 + -6n = -2 + 3n Solving -47 + -6n = -2 + 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. -47 + -6n + -3n = -2 + 3n + -3n Combine like terms: -6n + -3n = -9n -47 + -9n = -2 + 3n + -3n Combine like terms: 3n + -3n = 0 -47 + -9n = -2 + 0 -47 + -9n = -2 Add '47' to each side of the equation. -47 + 47 + -9n = -2 + 47 Combine like terms: -47 + 47 = 0 0 + -9n = -2 + 47 -9n = -2 + 47 Combine like terms: -2 + 47 = 45 -9n = 45 Divide each side by '-9'. n = -5 Simplifying n = -5
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