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Simplifying 7(2n + -4) = (9n + 7) + 3 Reorder the terms: 7(-4 + 2n) = (9n + 7) + 3 (-4 * 7 + 2n * 7) = (9n + 7) + 3 (-28 + 14n) = (9n + 7) + 3 Reorder the terms: -28 + 14n = (7 + 9n) + 3 Remove parenthesis around (7 + 9n) -28 + 14n = 7 + 9n + 3 Reorder the terms: -28 + 14n = 7 + 3 + 9n Combine like terms: 7 + 3 = 10 -28 + 14n = 10 + 9n Solving -28 + 14n = 10 + 9n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-9n' to each side of the equation. -28 + 14n + -9n = 10 + 9n + -9n Combine like terms: 14n + -9n = 5n -28 + 5n = 10 + 9n + -9n Combine like terms: 9n + -9n = 0 -28 + 5n = 10 + 0 -28 + 5n = 10 Add '28' to each side of the equation. -28 + 28 + 5n = 10 + 28 Combine like terms: -28 + 28 = 0 0 + 5n = 10 + 28 5n = 10 + 28 Combine like terms: 10 + 28 = 38 5n = 38 Divide each side by '5'. n = 7.6 Simplifying n = 7.6
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