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Simplifying 6(n + -3) = 4(n + 8.4) Reorder the terms: 6(-3 + n) = 4(n + 8.4) (-3 * 6 + n * 6) = 4(n + 8.4) (-18 + 6n) = 4(n + 8.4) Reorder the terms: -18 + 6n = 4(8.4 + n) -18 + 6n = (8.4 * 4 + n * 4) -18 + 6n = (33.6 + 4n) Solving -18 + 6n = 33.6 + 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. -18 + 6n + -4n = 33.6 + 4n + -4n Combine like terms: 6n + -4n = 2n -18 + 2n = 33.6 + 4n + -4n Combine like terms: 4n + -4n = 0 -18 + 2n = 33.6 + 0 -18 + 2n = 33.6 Add '18' to each side of the equation. -18 + 18 + 2n = 33.6 + 18 Combine like terms: -18 + 18 = 0 0 + 2n = 33.6 + 18 2n = 33.6 + 18 Combine like terms: 33.6 + 18 = 51.6 2n = 51.6 Divide each side by '2'. n = 25.8 Simplifying n = 25.8
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