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Simplifying 7(5n + 3) = 6n + -37 Reorder the terms: 7(3 + 5n) = 6n + -37 (3 * 7 + 5n * 7) = 6n + -37 (21 + 35n) = 6n + -37 Reorder the terms: 21 + 35n = -37 + 6n Solving 21 + 35n = -37 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. 21 + 35n + -6n = -37 + 6n + -6n Combine like terms: 35n + -6n = 29n 21 + 29n = -37 + 6n + -6n Combine like terms: 6n + -6n = 0 21 + 29n = -37 + 0 21 + 29n = -37 Add '-21' to each side of the equation. 21 + -21 + 29n = -37 + -21 Combine like terms: 21 + -21 = 0 0 + 29n = -37 + -21 29n = -37 + -21 Combine like terms: -37 + -21 = -58 29n = -58 Divide each side by '29'. n = -2 Simplifying n = -2
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