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Simplifying 37 = -3 + 5(n + 6) Reorder the terms: 37 = -3 + 5(6 + n) 37 = -3 + (6 * 5 + n * 5) 37 = -3 + (30 + 5n) Combine like terms: -3 + 30 = 27 37 = 27 + 5n Solving 37 = 27 + 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. 37 + -5n = 27 + 5n + -5n Combine like terms: 5n + -5n = 0 37 + -5n = 27 + 0 37 + -5n = 27 Add '-37' to each side of the equation. 37 + -37 + -5n = 27 + -37 Combine like terms: 37 + -37 = 0 0 + -5n = 27 + -37 -5n = 27 + -37 Combine like terms: 27 + -37 = -10 -5n = -10 Divide each side by '-5'. n = 2 Simplifying n = 2
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