3+5(2m+1)=11+16m

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Solution for 3+5(2m+1)=11+16m equation:


Simplifying
3 + 5(2m + 1) = 11 + 16m

Reorder the terms:
3 + 5(1 + 2m) = 11 + 16m
3 + (1 * 5 + 2m * 5) = 11 + 16m
3 + (5 + 10m) = 11 + 16m

Combine like terms: 3 + 5 = 8
8 + 10m = 11 + 16m

Solving
8 + 10m = 11 + 16m

Solving for variable 'm'.

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

Add '-16m' to each side of the equation.
8 + 10m + -16m = 11 + 16m + -16m

Combine like terms: 10m + -16m = -6m
8 + -6m = 11 + 16m + -16m

Combine like terms: 16m + -16m = 0
8 + -6m = 11 + 0
8 + -6m = 11

Add '-8' to each side of the equation.
8 + -8 + -6m = 11 + -8

Combine like terms: 8 + -8 = 0
0 + -6m = 11 + -8
-6m = 11 + -8

Combine like terms: 11 + -8 = 3
-6m = 3

Divide each side by '-6'.
m = -0.5

Simplifying
m = -0.5

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