(7m-21)+(m+4)=15

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Solution for (7m-21)+(m+4)=15 equation:


Simplifying
(7m + -21) + (m + 4) = 15

Reorder the terms:
(-21 + 7m) + (m + 4) = 15

Remove parenthesis around (-21 + 7m)
-21 + 7m + (m + 4) = 15

Reorder the terms:
-21 + 7m + (4 + m) = 15

Remove parenthesis around (4 + m)
-21 + 7m + 4 + m = 15

Reorder the terms:
-21 + 4 + 7m + m = 15

Combine like terms: -21 + 4 = -17
-17 + 7m + m = 15

Combine like terms: 7m + m = 8m
-17 + 8m = 15

Solving
-17 + 8m = 15

Solving for variable 'm'.

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

Add '17' to each side of the equation.
-17 + 17 + 8m = 15 + 17

Combine like terms: -17 + 17 = 0
0 + 8m = 15 + 17
8m = 15 + 17

Combine like terms: 15 + 17 = 32
8m = 32

Divide each side by '8'.
m = 4

Simplifying
m = 4

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