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Simplifying 3(n + 4) = 4n + -3(6 + -3n) Reorder the terms: 3(4 + n) = 4n + -3(6 + -3n) (4 * 3 + n * 3) = 4n + -3(6 + -3n) (12 + 3n) = 4n + -3(6 + -3n) 12 + 3n = 4n + (6 * -3 + -3n * -3) 12 + 3n = 4n + (-18 + 9n) Reorder the terms: 12 + 3n = -18 + 4n + 9n Combine like terms: 4n + 9n = 13n 12 + 3n = -18 + 13n Solving 12 + 3n = -18 + 13n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-13n' to each side of the equation. 12 + 3n + -13n = -18 + 13n + -13n Combine like terms: 3n + -13n = -10n 12 + -10n = -18 + 13n + -13n Combine like terms: 13n + -13n = 0 12 + -10n = -18 + 0 12 + -10n = -18 Add '-12' to each side of the equation. 12 + -12 + -10n = -18 + -12 Combine like terms: 12 + -12 = 0 0 + -10n = -18 + -12 -10n = -18 + -12 Combine like terms: -18 + -12 = -30 -10n = -30 Divide each side by '-10'. n = 3 Simplifying n = 3
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