P+P+O+N+N+M+O+M+P+P+M+N=64

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Solution for P+P+O+N+N+M+O+M+P+P+M+N=64 equation: 


Simplifying
P + P + O + N + N + M + O + M + P + P + M + N = 64

Reorder the terms:
M + M + M + N + N + N + O + O + P + P + P + P = 64

Combine like terms: M + M = 2M
2M + M + N + N + N + O + O + P + P + P + P = 64

Combine like terms: 2M + M = 3M
3M + N + N + N + O + O + P + P + P + P = 64

Combine like terms: N + N = 2N
3M + 2N + N + O + O + P + P + P + P = 64

Combine like terms: 2N + N = 3N
3M + 3N + O + O + P + P + P + P = 64

Combine like terms: O + O = 2O
3M + 3N + 2O + P + P + P + P = 64

Combine like terms: P + P = 2P
3M + 3N + 2O + 2P + P + P = 64

Combine like terms: 2P + P = 3P
3M + 3N + 2O + 3P + P = 64

Combine like terms: 3P + P = 4P
3M + 3N + 2O + 4P = 64

Solving
3M + 3N + 2O + 4P = 64

Solving for variable 'M'.

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

Add '-3N' to each side of the equation.
3M + 3N + 2O + -3N + 4P = 64 + -3N

Reorder the terms:
3M + 3N + -3N + 2O + 4P = 64 + -3N

Combine like terms: 3N + -3N = 0
3M + 0 + 2O + 4P = 64 + -3N
3M + 2O + 4P = 64 + -3N

Add '-2O' to each side of the equation.
3M + 2O + -2O + 4P = 64 + -3N + -2O

Combine like terms: 2O + -2O = 0
3M + 0 + 4P = 64 + -3N + -2O
3M + 4P = 64 + -3N + -2O

Add '-4P' to each side of the equation.
3M + 4P + -4P = 64 + -3N + -2O + -4P

Combine like terms: 4P + -4P = 0
3M + 0 = 64 + -3N + -2O + -4P
3M = 64 + -3N + -2O + -4P

Divide each side by '3'.
M = 21.33333333 + -1N + -0.6666666667O + -1.333333333P

Simplifying
M = 21.33333333 + -1N + -0.6666666667O + -1.333333333P

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