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Simplifying -3(4n + 7) + 3(n + -6) = 0 Reorder the terms: -3(7 + 4n) + 3(n + -6) = 0 (7 * -3 + 4n * -3) + 3(n + -6) = 0 (-21 + -12n) + 3(n + -6) = 0 Reorder the terms: -21 + -12n + 3(-6 + n) = 0 -21 + -12n + (-6 * 3 + n * 3) = 0 -21 + -12n + (-18 + 3n) = 0 Reorder the terms: -21 + -18 + -12n + 3n = 0 Combine like terms: -21 + -18 = -39 -39 + -12n + 3n = 0 Combine like terms: -12n + 3n = -9n -39 + -9n = 0 Solving -39 + -9n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '39' to each side of the equation. -39 + 39 + -9n = 0 + 39 Combine like terms: -39 + 39 = 0 0 + -9n = 0 + 39 -9n = 0 + 39 Combine like terms: 0 + 39 = 39 -9n = 39 Divide each side by '-9'. n = -4.333333333 Simplifying n = -4.333333333
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