(8m-2)(3m+4)=(4m+3)(6m-1)

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Solution for (8m-2)(3m+4)=(4m+3)(6m-1) equation: 


Simplifying
(8m + -2)(3m + 4) = (4m + 3)(6m + -1)

Reorder the terms:
(-2 + 8m)(3m + 4) = (4m + 3)(6m + -1)

Reorder the terms:
(-2 + 8m)(4 + 3m) = (4m + 3)(6m + -1)

Multiply (-2 + 8m) * (4 + 3m)
(-2(4 + 3m) + 8m * (4 + 3m)) = (4m + 3)(6m + -1)
((4 * -2 + 3m * -2) + 8m * (4 + 3m)) = (4m + 3)(6m + -1)
((-8 + -6m) + 8m * (4 + 3m)) = (4m + 3)(6m + -1)
(-8 + -6m + (4 * 8m + 3m * 8m)) = (4m + 3)(6m + -1)
(-8 + -6m + (32m + 24m2)) = (4m + 3)(6m + -1)

Combine like terms: -6m + 32m = 26m
(-8 + 26m + 24m2) = (4m + 3)(6m + -1)

Reorder the terms:
-8 + 26m + 24m2 = (3 + 4m)(6m + -1)

Reorder the terms:
-8 + 26m + 24m2 = (3 + 4m)(-1 + 6m)

Multiply (3 + 4m) * (-1 + 6m)
-8 + 26m + 24m2 = (3(-1 + 6m) + 4m * (-1 + 6m))
-8 + 26m + 24m2 = ((-1 * 3 + 6m * 3) + 4m * (-1 + 6m))
-8 + 26m + 24m2 = ((-3 + 18m) + 4m * (-1 + 6m))
-8 + 26m + 24m2 = (-3 + 18m + (-1 * 4m + 6m * 4m))
-8 + 26m + 24m2 = (-3 + 18m + (-4m + 24m2))

Combine like terms: 18m + -4m = 14m
-8 + 26m + 24m2 = (-3 + 14m + 24m2)

Add '-24m2' to each side of the equation.
-8 + 26m + 24m2 + -24m2 = -3 + 14m + 24m2 + -24m2

Combine like terms: 24m2 + -24m2 = 0
-8 + 26m + 0 = -3 + 14m + 24m2 + -24m2
-8 + 26m = -3 + 14m + 24m2 + -24m2

Combine like terms: 24m2 + -24m2 = 0
-8 + 26m = -3 + 14m + 0
-8 + 26m = -3 + 14m

Solving
-8 + 26m = -3 + 14m

Solving for variable 'm'.

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

Add '-14m' to each side of the equation.
-8 + 26m + -14m = -3 + 14m + -14m

Combine like terms: 26m + -14m = 12m
-8 + 12m = -3 + 14m + -14m

Combine like terms: 14m + -14m = 0
-8 + 12m = -3 + 0
-8 + 12m = -3

Add '8' to each side of the equation.
-8 + 8 + 12m = -3 + 8

Combine like terms: -8 + 8 = 0
0 + 12m = -3 + 8
12m = -3 + 8

Combine like terms: -3 + 8 = 5
12m = 5

Divide each side by '12'.
m = 0.4166666667

Simplifying
m = 0.4166666667

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