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Simplifying 6(2n + 2) = 7(4n + 3) + 9 Reorder the terms: 6(2 + 2n) = 7(4n + 3) + 9 (2 * 6 + 2n * 6) = 7(4n + 3) + 9 (12 + 12n) = 7(4n + 3) + 9 Reorder the terms: 12 + 12n = 7(3 + 4n) + 9 12 + 12n = (3 * 7 + 4n * 7) + 9 12 + 12n = (21 + 28n) + 9 Reorder the terms: 12 + 12n = 21 + 9 + 28n Combine like terms: 21 + 9 = 30 12 + 12n = 30 + 28n Solving 12 + 12n = 30 + 28n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-28n' to each side of the equation. 12 + 12n + -28n = 30 + 28n + -28n Combine like terms: 12n + -28n = -16n 12 + -16n = 30 + 28n + -28n Combine like terms: 28n + -28n = 0 12 + -16n = 30 + 0 12 + -16n = 30 Add '-12' to each side of the equation. 12 + -12 + -16n = 30 + -12 Combine like terms: 12 + -12 = 0 0 + -16n = 30 + -12 -16n = 30 + -12 Combine like terms: 30 + -12 = 18 -16n = 18 Divide each side by '-16'. n = -1.125 Simplifying n = -1.125
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