6m=3(5m+21)

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Solution for 6m=3(5m+21) equation:


Simplifying
6m = 3(5m + 21)

Reorder the terms:
6m = 3(21 + 5m)
6m = (21 * 3 + 5m * 3)
6m = (63 + 15m)

Solving
6m = 63 + 15m

Solving for variable 'm'.

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

Add '-15m' to each side of the equation.
6m + -15m = 63 + 15m + -15m

Combine like terms: 6m + -15m = -9m
-9m = 63 + 15m + -15m

Combine like terms: 15m + -15m = 0
-9m = 63 + 0
-9m = 63

Divide each side by '-9'.
m = -7

Simplifying
m = -7

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