3m=7(m+6)

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Solution for 3m=7(m+6) equation:


Simplifying
3m = 7(m + 6)

Reorder the terms:
3m = 7(6 + m)
3m = (6 * 7 + m * 7)
3m = (42 + 7m)

Solving
3m = 42 + 7m

Solving for variable 'm'.

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

Add '-7m' to each side of the equation.
3m + -7m = 42 + 7m + -7m

Combine like terms: 3m + -7m = -4m
-4m = 42 + 7m + -7m

Combine like terms: 7m + -7m = 0
-4m = 42 + 0
-4m = 42

Divide each side by '-4'.
m = -10.5

Simplifying
m = -10.5

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