2(4m+9)=6(3m+7)

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Solution for 2(4m+9)=6(3m+7) equation:


Simplifying
2(4m + 9) = 6(3m + 7)

Reorder the terms:
2(9 + 4m) = 6(3m + 7)
(9 * 2 + 4m * 2) = 6(3m + 7)
(18 + 8m) = 6(3m + 7)

Reorder the terms:
18 + 8m = 6(7 + 3m)
18 + 8m = (7 * 6 + 3m * 6)
18 + 8m = (42 + 18m)

Solving
18 + 8m = 42 + 18m

Solving for variable 'm'.

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

Add '-18m' to each side of the equation.
18 + 8m + -18m = 42 + 18m + -18m

Combine like terms: 8m + -18m = -10m
18 + -10m = 42 + 18m + -18m

Combine like terms: 18m + -18m = 0
18 + -10m = 42 + 0
18 + -10m = 42

Add '-18' to each side of the equation.
18 + -18 + -10m = 42 + -18

Combine like terms: 18 + -18 = 0
0 + -10m = 42 + -18
-10m = 42 + -18

Combine like terms: 42 + -18 = 24
-10m = 24

Divide each side by '-10'.
m = -2.4

Simplifying
m = -2.4

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