0.11(2m-16)=.33(2m+4)

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Solution for 0.11(2m-16)=.33(2m+4) equation:


Simplifying
0.11(2m + -16) = 0.33(2m + 4)

Reorder the terms:
0.11(-16 + 2m) = 0.33(2m + 4)
(-16 * 0.11 + 2m * 0.11) = 0.33(2m + 4)
(-1.76 + 0.22m) = 0.33(2m + 4)

Reorder the terms:
-1.76 + 0.22m = 0.33(4 + 2m)
-1.76 + 0.22m = (4 * 0.33 + 2m * 0.33)
-1.76 + 0.22m = (1.32 + 0.66m)

Solving
-1.76 + 0.22m = 1.32 + 0.66m

Solving for variable 'm'.

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

Add '-0.66m' to each side of the equation.
-1.76 + 0.22m + -0.66m = 1.32 + 0.66m + -0.66m

Combine like terms: 0.22m + -0.66m = -0.44m
-1.76 + -0.44m = 1.32 + 0.66m + -0.66m

Combine like terms: 0.66m + -0.66m = 0.00
-1.76 + -0.44m = 1.32 + 0.00
-1.76 + -0.44m = 1.32

Add '1.76' to each side of the equation.
-1.76 + 1.76 + -0.44m = 1.32 + 1.76

Combine like terms: -1.76 + 1.76 = 0.00
0.00 + -0.44m = 1.32 + 1.76
-0.44m = 1.32 + 1.76

Combine like terms: 1.32 + 1.76 = 3.08
-0.44m = 3.08

Divide each side by '-0.44'.
m = -7

Simplifying
m = -7

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