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Simplifying 7(2n + -4) = (5n + 6) + 1 Reorder the terms: 7(-4 + 2n) = (5n + 6) + 1 (-4 * 7 + 2n * 7) = (5n + 6) + 1 (-28 + 14n) = (5n + 6) + 1 Reorder the terms: -28 + 14n = (6 + 5n) + 1 Remove parenthesis around (6 + 5n) -28 + 14n = 6 + 5n + 1 Reorder the terms: -28 + 14n = 6 + 1 + 5n Combine like terms: 6 + 1 = 7 -28 + 14n = 7 + 5n Solving -28 + 14n = 7 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. -28 + 14n + -5n = 7 + 5n + -5n Combine like terms: 14n + -5n = 9n -28 + 9n = 7 + 5n + -5n Combine like terms: 5n + -5n = 0 -28 + 9n = 7 + 0 -28 + 9n = 7 Add '28' to each side of the equation. -28 + 28 + 9n = 7 + 28 Combine like terms: -28 + 28 = 0 0 + 9n = 7 + 28 9n = 7 + 28 Combine like terms: 7 + 28 = 35 9n = 35 Divide each side by '9'. n = 3.888888889 Simplifying n = 3.888888889
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