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Simplifying 14n + 12 = 3(6n + 9) Reorder the terms: 12 + 14n = 3(6n + 9) Reorder the terms: 12 + 14n = 3(9 + 6n) 12 + 14n = (9 * 3 + 6n * 3) 12 + 14n = (27 + 18n) Solving 12 + 14n = 27 + 18n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-18n' to each side of the equation. 12 + 14n + -18n = 27 + 18n + -18n Combine like terms: 14n + -18n = -4n 12 + -4n = 27 + 18n + -18n Combine like terms: 18n + -18n = 0 12 + -4n = 27 + 0 12 + -4n = 27 Add '-12' to each side of the equation. 12 + -12 + -4n = 27 + -12 Combine like terms: 12 + -12 = 0 0 + -4n = 27 + -12 -4n = 27 + -12 Combine like terms: 27 + -12 = 15 -4n = 15 Divide each side by '-4'. n = -3.75 Simplifying n = -3.75
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