49(2n+5)=37(3n+1)

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Solution for 49(2n+5)=37(3n+1) equation:


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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