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Simplifying 4(3n + 5) = 7(4n + 9) + 7 Reorder the terms: 4(5 + 3n) = 7(4n + 9) + 7 (5 * 4 + 3n * 4) = 7(4n + 9) + 7 (20 + 12n) = 7(4n + 9) + 7 Reorder the terms: 20 + 12n = 7(9 + 4n) + 7 20 + 12n = (9 * 7 + 4n * 7) + 7 20 + 12n = (63 + 28n) + 7 Reorder the terms: 20 + 12n = 63 + 7 + 28n Combine like terms: 63 + 7 = 70 20 + 12n = 70 + 28n Solving 20 + 12n = 70 + 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. 20 + 12n + -28n = 70 + 28n + -28n Combine like terms: 12n + -28n = -16n 20 + -16n = 70 + 28n + -28n Combine like terms: 28n + -28n = 0 20 + -16n = 70 + 0 20 + -16n = 70 Add '-20' to each side of the equation. 20 + -20 + -16n = 70 + -20 Combine like terms: 20 + -20 = 0 0 + -16n = 70 + -20 -16n = 70 + -20 Combine like terms: 70 + -20 = 50 -16n = 50 Divide each side by '-16'. n = -3.125 Simplifying n = -3.125
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