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Simplifying 4(3n + 5) = 7(9n + 7) + 3 Reorder the terms: 4(5 + 3n) = 7(9n + 7) + 3 (5 * 4 + 3n * 4) = 7(9n + 7) + 3 (20 + 12n) = 7(9n + 7) + 3 Reorder the terms: 20 + 12n = 7(7 + 9n) + 3 20 + 12n = (7 * 7 + 9n * 7) + 3 20 + 12n = (49 + 63n) + 3 Reorder the terms: 20 + 12n = 49 + 3 + 63n Combine like terms: 49 + 3 = 52 20 + 12n = 52 + 63n Solving 20 + 12n = 52 + 63n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-63n' to each side of the equation. 20 + 12n + -63n = 52 + 63n + -63n Combine like terms: 12n + -63n = -51n 20 + -51n = 52 + 63n + -63n Combine like terms: 63n + -63n = 0 20 + -51n = 52 + 0 20 + -51n = 52 Add '-20' to each side of the equation. 20 + -20 + -51n = 52 + -20 Combine like terms: 20 + -20 = 0 0 + -51n = 52 + -20 -51n = 52 + -20 Combine like terms: 52 + -20 = 32 -51n = 32 Divide each side by '-51'. n = -0.6274509804 Simplifying n = -0.6274509804
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