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Simplifying 4(5n2 + 7) + -3n2 = 3(4n2 + 9) Reorder the terms: 4(7 + 5n2) + -3n2 = 3(4n2 + 9) (7 * 4 + 5n2 * 4) + -3n2 = 3(4n2 + 9) (28 + 20n2) + -3n2 = 3(4n2 + 9) Combine like terms: 20n2 + -3n2 = 17n2 28 + 17n2 = 3(4n2 + 9) Reorder the terms: 28 + 17n2 = 3(9 + 4n2) 28 + 17n2 = (9 * 3 + 4n2 * 3) 28 + 17n2 = (27 + 12n2) Solving 28 + 17n2 = 27 + 12n2 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-12n2' to each side of the equation. 28 + 17n2 + -12n2 = 27 + 12n2 + -12n2 Combine like terms: 17n2 + -12n2 = 5n2 28 + 5n2 = 27 + 12n2 + -12n2 Combine like terms: 12n2 + -12n2 = 0 28 + 5n2 = 27 + 0 28 + 5n2 = 27 Add '-28' to each side of the equation. 28 + -28 + 5n2 = 27 + -28 Combine like terms: 28 + -28 = 0 0 + 5n2 = 27 + -28 5n2 = 27 + -28 Combine like terms: 27 + -28 = -1 5n2 = -1 Divide each side by '5'. n2 = -0.2 Simplifying n2 = -0.2 Reorder the terms: 0.2 + n2 = -0.2 + 0.2 Combine like terms: -0.2 + 0.2 = 0.0 0.2 + n2 = 0.0 The solution to this equation could not be determined.
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