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Simplifying 7(3n + -4) = (7n + 5) + 2 Reorder the terms: 7(-4 + 3n) = (7n + 5) + 2 (-4 * 7 + 3n * 7) = (7n + 5) + 2 (-28 + 21n) = (7n + 5) + 2 Reorder the terms: -28 + 21n = (5 + 7n) + 2 Remove parenthesis around (5 + 7n) -28 + 21n = 5 + 7n + 2 Reorder the terms: -28 + 21n = 5 + 2 + 7n Combine like terms: 5 + 2 = 7 -28 + 21n = 7 + 7n Solving -28 + 21n = 7 + 7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7n' to each side of the equation. -28 + 21n + -7n = 7 + 7n + -7n Combine like terms: 21n + -7n = 14n -28 + 14n = 7 + 7n + -7n Combine like terms: 7n + -7n = 0 -28 + 14n = 7 + 0 -28 + 14n = 7 Add '28' to each side of the equation. -28 + 28 + 14n = 7 + 28 Combine like terms: -28 + 28 = 0 0 + 14n = 7 + 28 14n = 7 + 28 Combine like terms: 7 + 28 = 35 14n = 35 Divide each side by '14'. n = 2.5 Simplifying n = 2.5
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