5M+3N=6M+N+1

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Solution for 5M+3N=6M+N+1 equation: 


Simplifying
5M + 3N = 6M + N + 1

Reorder the terms:
5M + 3N = 1 + 6M + N

Solving
5M + 3N = 1 + 6M + N

Solving for variable 'M'.

Move all terms containing M to the left, all other terms to the right.

Add '-6M' to each side of the equation.
5M + -6M + 3N = 1 + 6M + -6M + N

Combine like terms: 5M + -6M = -1M
-1M + 3N = 1 + 6M + -6M + N

Combine like terms: 6M + -6M = 0
-1M + 3N = 1 + 0 + N
-1M + 3N = 1 + N

Add '-3N' to each side of the equation.
-1M + 3N + -3N = 1 + N + -3N

Combine like terms: 3N + -3N = 0
-1M + 0 = 1 + N + -3N
-1M = 1 + N + -3N

Combine like terms: N + -3N = -2N
-1M = 1 + -2N

Divide each side by '-1'.
M = -1 + 2N

Simplifying
M = -1 + 2N

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