0.125(3m+52)=0.25(3m+5)

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Solution for 0.125(3m+52)=0.25(3m+5) equation: 


Simplifying
0.125(3m + 52) = 0.25(3m + 5)

Reorder the terms:
0.125(52 + 3m) = 0.25(3m + 5)
(52 * 0.125 + 3m * 0.125) = 0.25(3m + 5)
(6.5 + 0.375m) = 0.25(3m + 5)

Reorder the terms:
6.5 + 0.375m = 0.25(5 + 3m)
6.5 + 0.375m = (5 * 0.25 + 3m * 0.25)
6.5 + 0.375m = (1.25 + 0.75m)

Solving
6.5 + 0.375m = 1.25 + 0.75m

Solving for variable 'm'.

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

Add '-0.75m' to each side of the equation.
6.5 + 0.375m + -0.75m = 1.25 + 0.75m + -0.75m

Combine like terms: 0.375m + -0.75m = -0.375m
6.5 + -0.375m = 1.25 + 0.75m + -0.75m

Combine like terms: 0.75m + -0.75m = 0.00
6.5 + -0.375m = 1.25 + 0.00
6.5 + -0.375m = 1.25

Add '-6.5' to each side of the equation.
6.5 + -6.5 + -0.375m = 1.25 + -6.5

Combine like terms: 6.5 + -6.5 = 0.0
0.0 + -0.375m = 1.25 + -6.5
-0.375m = 1.25 + -6.5

Combine like terms: 1.25 + -6.5 = -5.25
-0.375m = -5.25

Divide each side by '-0.375'.
m = 14

Simplifying
m = 14

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