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Simplifying 3(4n + 6) = -1n + 5 Reorder the terms: 3(6 + 4n) = -1n + 5 (6 * 3 + 4n * 3) = -1n + 5 (18 + 12n) = -1n + 5 Reorder the terms: 18 + 12n = 5 + -1n Solving 18 + 12n = 5 + -1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add 'n' to each side of the equation. 18 + 12n + n = 5 + -1n + n Combine like terms: 12n + n = 13n 18 + 13n = 5 + -1n + n Combine like terms: -1n + n = 0 18 + 13n = 5 + 0 18 + 13n = 5 Add '-18' to each side of the equation. 18 + -18 + 13n = 5 + -18 Combine like terms: 18 + -18 = 0 0 + 13n = 5 + -18 13n = 5 + -18 Combine like terms: 5 + -18 = -13 13n = -13 Divide each side by '13'. n = -1 Simplifying n = -1
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