2m+3(m-8)+1=46

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Solution for 2m+3(m-8)+1=46 equation:


Simplifying
2m + 3(m + -8) + 1 = 46

Reorder the terms:
2m + 3(-8 + m) + 1 = 46
2m + (-8 * 3 + m * 3) + 1 = 46
2m + (-24 + 3m) + 1 = 46

Reorder the terms:
-24 + 1 + 2m + 3m = 46

Combine like terms: -24 + 1 = -23
-23 + 2m + 3m = 46

Combine like terms: 2m + 3m = 5m
-23 + 5m = 46

Solving
-23 + 5m = 46

Solving for variable 'm'.

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

Add '23' to each side of the equation.
-23 + 23 + 5m = 46 + 23

Combine like terms: -23 + 23 = 0
0 + 5m = 46 + 23
5m = 46 + 23

Combine like terms: 46 + 23 = 69
5m = 69

Divide each side by '5'.
m = 13.8

Simplifying
m = 13.8

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