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Simplifying -37 + 6n = 7(1 + 3n) + 7n -37 + 6n = (1 * 7 + 3n * 7) + 7n -37 + 6n = (7 + 21n) + 7n Combine like terms: 21n + 7n = 28n -37 + 6n = 7 + 28n Solving -37 + 6n = 7 + 28n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-28n' to each side of the equation. -37 + 6n + -28n = 7 + 28n + -28n Combine like terms: 6n + -28n = -22n -37 + -22n = 7 + 28n + -28n Combine like terms: 28n + -28n = 0 -37 + -22n = 7 + 0 -37 + -22n = 7 Add '37' to each side of the equation. -37 + 37 + -22n = 7 + 37 Combine like terms: -37 + 37 = 0 0 + -22n = 7 + 37 -22n = 7 + 37 Combine like terms: 7 + 37 = 44 -22n = 44 Divide each side by '-22'. n = -2 Simplifying n = -2
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