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Simplifying -4 + -6(n + 8) = -34 + -3n Reorder the terms: -4 + -6(8 + n) = -34 + -3n -4 + (8 * -6 + n * -6) = -34 + -3n -4 + (-48 + -6n) = -34 + -3n Combine like terms: -4 + -48 = -52 -52 + -6n = -34 + -3n Solving -52 + -6n = -34 + -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. -52 + -6n + 3n = -34 + -3n + 3n Combine like terms: -6n + 3n = -3n -52 + -3n = -34 + -3n + 3n Combine like terms: -3n + 3n = 0 -52 + -3n = -34 + 0 -52 + -3n = -34 Add '52' to each side of the equation. -52 + 52 + -3n = -34 + 52 Combine like terms: -52 + 52 = 0 0 + -3n = -34 + 52 -3n = -34 + 52 Combine like terms: -34 + 52 = 18 -3n = 18 Divide each side by '-3'. n = -6 Simplifying n = -6
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