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Simplifying 7(4n + -2) = 5n + -37 Reorder the terms: 7(-2 + 4n) = 5n + -37 (-2 * 7 + 4n * 7) = 5n + -37 (-14 + 28n) = 5n + -37 Reorder the terms: -14 + 28n = -37 + 5n Solving -14 + 28n = -37 + 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. -14 + 28n + -5n = -37 + 5n + -5n Combine like terms: 28n + -5n = 23n -14 + 23n = -37 + 5n + -5n Combine like terms: 5n + -5n = 0 -14 + 23n = -37 + 0 -14 + 23n = -37 Add '14' to each side of the equation. -14 + 14 + 23n = -37 + 14 Combine like terms: -14 + 14 = 0 0 + 23n = -37 + 14 23n = -37 + 14 Combine like terms: -37 + 14 = -23 23n = -23 Divide each side by '23'. n = -1 Simplifying n = -1
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