7(m-3)=4(m+3)

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Solution for 7(m-3)=4(m+3) equation:


Simplifying
7(m + -3) = 4(m + 3)

Reorder the terms:
7(-3 + m) = 4(m + 3)
(-3 * 7 + m * 7) = 4(m + 3)
(-21 + 7m) = 4(m + 3)

Reorder the terms:
-21 + 7m = 4(3 + m)
-21 + 7m = (3 * 4 + m * 4)
-21 + 7m = (12 + 4m)

Solving
-21 + 7m = 12 + 4m

Solving for variable 'm'.

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

Add '-4m' to each side of the equation.
-21 + 7m + -4m = 12 + 4m + -4m

Combine like terms: 7m + -4m = 3m
-21 + 3m = 12 + 4m + -4m

Combine like terms: 4m + -4m = 0
-21 + 3m = 12 + 0
-21 + 3m = 12

Add '21' to each side of the equation.
-21 + 21 + 3m = 12 + 21

Combine like terms: -21 + 21 = 0
0 + 3m = 12 + 21
3m = 12 + 21

Combine like terms: 12 + 21 = 33
3m = 33

Divide each side by '3'.
m = 11

Simplifying
m = 11

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