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Simplifying -7(n + 7) = -29 + -3n Reorder the terms: -7(7 + n) = -29 + -3n (7 * -7 + n * -7) = -29 + -3n (-49 + -7n) = -29 + -3n Solving -49 + -7n = -29 + -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. -49 + -7n + 3n = -29 + -3n + 3n Combine like terms: -7n + 3n = -4n -49 + -4n = -29 + -3n + 3n Combine like terms: -3n + 3n = 0 -49 + -4n = -29 + 0 -49 + -4n = -29 Add '49' to each side of the equation. -49 + 49 + -4n = -29 + 49 Combine like terms: -49 + 49 = 0 0 + -4n = -29 + 49 -4n = -29 + 49 Combine like terms: -29 + 49 = 20 -4n = 20 Divide each side by '-4'. n = -5 Simplifying n = -5
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