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Simplifying 7(3n + -4) = (4n + 1) + 8 Reorder the terms: 7(-4 + 3n) = (4n + 1) + 8 (-4 * 7 + 3n * 7) = (4n + 1) + 8 (-28 + 21n) = (4n + 1) + 8 Reorder the terms: -28 + 21n = (1 + 4n) + 8 Remove parenthesis around (1 + 4n) -28 + 21n = 1 + 4n + 8 Reorder the terms: -28 + 21n = 1 + 8 + 4n Combine like terms: 1 + 8 = 9 -28 + 21n = 9 + 4n Solving -28 + 21n = 9 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. -28 + 21n + -4n = 9 + 4n + -4n Combine like terms: 21n + -4n = 17n -28 + 17n = 9 + 4n + -4n Combine like terms: 4n + -4n = 0 -28 + 17n = 9 + 0 -28 + 17n = 9 Add '28' to each side of the equation. -28 + 28 + 17n = 9 + 28 Combine like terms: -28 + 28 = 0 0 + 17n = 9 + 28 17n = 9 + 28 Combine like terms: 9 + 28 = 37 17n = 37 Divide each side by '17'. n = 2.176470588 Simplifying n = 2.176470588
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