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Simplifying 4(5n + -7) = 3n + 3(4n + 9) Reorder the terms: 4(-7 + 5n) = 3n + 3(4n + 9) (-7 * 4 + 5n * 4) = 3n + 3(4n + 9) (-28 + 20n) = 3n + 3(4n + 9) Reorder the terms: -28 + 20n = 3n + 3(9 + 4n) -28 + 20n = 3n + (9 * 3 + 4n * 3) -28 + 20n = 3n + (27 + 12n) Reorder the terms: -28 + 20n = 27 + 3n + 12n Combine like terms: 3n + 12n = 15n -28 + 20n = 27 + 15n Solving -28 + 20n = 27 + 15n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-15n' to each side of the equation. -28 + 20n + -15n = 27 + 15n + -15n Combine like terms: 20n + -15n = 5n -28 + 5n = 27 + 15n + -15n Combine like terms: 15n + -15n = 0 -28 + 5n = 27 + 0 -28 + 5n = 27 Add '28' to each side of the equation. -28 + 28 + 5n = 27 + 28 Combine like terms: -28 + 28 = 0 0 + 5n = 27 + 28 5n = 27 + 28 Combine like terms: 27 + 28 = 55 5n = 55 Divide each side by '5'. n = 11 Simplifying n = 11
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