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Simplifying 3n + 7(-6n + -7) = 6 + 4n Reorder the terms: 3n + 7(-7 + -6n) = 6 + 4n 3n + (-7 * 7 + -6n * 7) = 6 + 4n 3n + (-49 + -42n) = 6 + 4n Reorder the terms: -49 + 3n + -42n = 6 + 4n Combine like terms: 3n + -42n = -39n -49 + -39n = 6 + 4n Solving -49 + -39n = 6 + 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. -49 + -39n + -4n = 6 + 4n + -4n Combine like terms: -39n + -4n = -43n -49 + -43n = 6 + 4n + -4n Combine like terms: 4n + -4n = 0 -49 + -43n = 6 + 0 -49 + -43n = 6 Add '49' to each side of the equation. -49 + 49 + -43n = 6 + 49 Combine like terms: -49 + 49 = 0 0 + -43n = 6 + 49 -43n = 6 + 49 Combine like terms: 6 + 49 = 55 -43n = 55 Divide each side by '-43'. n = -1.279069767 Simplifying n = -1.279069767
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