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Simplifying -6 + -7(n + 4) = -46 + -4n Reorder the terms: -6 + -7(4 + n) = -46 + -4n -6 + (4 * -7 + n * -7) = -46 + -4n -6 + (-28 + -7n) = -46 + -4n Combine like terms: -6 + -28 = -34 -34 + -7n = -46 + -4n Solving -34 + -7n = -46 + -4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '4n' to each side of the equation. -34 + -7n + 4n = -46 + -4n + 4n Combine like terms: -7n + 4n = -3n -34 + -3n = -46 + -4n + 4n Combine like terms: -4n + 4n = 0 -34 + -3n = -46 + 0 -34 + -3n = -46 Add '34' to each side of the equation. -34 + 34 + -3n = -46 + 34 Combine like terms: -34 + 34 = 0 0 + -3n = -46 + 34 -3n = -46 + 34 Combine like terms: -46 + 34 = -12 -3n = -12 Divide each side by '-3'. n = 4 Simplifying n = 4
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