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Simplifying 49(2n + 5) = 37(3n + 1) Reorder the terms: 49(5 + 2n) = 37(3n + 1) (5 * 49 + 2n * 49) = 37(3n + 1) (245 + 98n) = 37(3n + 1) Reorder the terms: 245 + 98n = 37(1 + 3n) 245 + 98n = (1 * 37 + 3n * 37) 245 + 98n = (37 + 111n) Solving 245 + 98n = 37 + 111n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-111n' to each side of the equation. 245 + 98n + -111n = 37 + 111n + -111n Combine like terms: 98n + -111n = -13n 245 + -13n = 37 + 111n + -111n Combine like terms: 111n + -111n = 0 245 + -13n = 37 + 0 245 + -13n = 37 Add '-245' to each side of the equation. 245 + -245 + -13n = 37 + -245 Combine like terms: 245 + -245 = 0 0 + -13n = 37 + -245 -13n = 37 + -245 Combine like terms: 37 + -245 = -208 -13n = -208 Divide each side by '-13'. n = 16 Simplifying n = 16
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