13m+19=6(9+m)+14

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Solution for 13m+19=6(9+m)+14 equation:


Simplifying
13m + 19 = 6(9 + m) + 14

Reorder the terms:
19 + 13m = 6(9 + m) + 14
19 + 13m = (9 * 6 + m * 6) + 14
19 + 13m = (54 + 6m) + 14

Reorder the terms:
19 + 13m = 54 + 14 + 6m

Combine like terms: 54 + 14 = 68
19 + 13m = 68 + 6m

Solving
19 + 13m = 68 + 6m

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.
19 + 13m + -6m = 68 + 6m + -6m

Combine like terms: 13m + -6m = 7m
19 + 7m = 68 + 6m + -6m

Combine like terms: 6m + -6m = 0
19 + 7m = 68 + 0
19 + 7m = 68

Add '-19' to each side of the equation.
19 + -19 + 7m = 68 + -19

Combine like terms: 19 + -19 = 0
0 + 7m = 68 + -19
7m = 68 + -19

Combine like terms: 68 + -19 = 49
7m = 49

Divide each side by '7'.
m = 7

Simplifying
m = 7

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