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Simplifying 6(3n + -3) = 4(n + 7) + 7 Reorder the terms: 6(-3 + 3n) = 4(n + 7) + 7 (-3 * 6 + 3n * 6) = 4(n + 7) + 7 (-18 + 18n) = 4(n + 7) + 7 Reorder the terms: -18 + 18n = 4(7 + n) + 7 -18 + 18n = (7 * 4 + n * 4) + 7 -18 + 18n = (28 + 4n) + 7 Reorder the terms: -18 + 18n = 28 + 7 + 4n Combine like terms: 28 + 7 = 35 -18 + 18n = 35 + 4n Solving -18 + 18n = 35 + 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 + 18n + -4n = 35 + 4n + -4n Combine like terms: 18n + -4n = 14n -18 + 14n = 35 + 4n + -4n Combine like terms: 4n + -4n = 0 -18 + 14n = 35 + 0 -18 + 14n = 35 Add '18' to each side of the equation. -18 + 18 + 14n = 35 + 18 Combine like terms: -18 + 18 = 0 0 + 14n = 35 + 18 14n = 35 + 18 Combine like terms: 35 + 18 = 53 14n = 53 Divide each side by '14'. n = 3.785714286 Simplifying n = 3.785714286
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