-3(6.5-3.7m)+3.3(6.4m+7.8)=m+3.4+8.1m+11.653

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Solution for -3(6.5-3.7m)+3.3(6.4m+7.8)=m+3.4+8.1m+11.653 equation: 


Simplifying
-3(6.5 + -3.7m) + 3.3(6.4m + 7.8) = m + 3.4 + 8.1m + 11.653
(6.5 * -3 + -3.7m * -3) + 3.3(6.4m + 7.8) = m + 3.4 + 8.1m + 11.653
(-19.5 + 11.1m) + 3.3(6.4m + 7.8) = m + 3.4 + 8.1m + 11.653

Reorder the terms:
-19.5 + 11.1m + 3.3(7.8 + 6.4m) = m + 3.4 + 8.1m + 11.653
-19.5 + 11.1m + (7.8 * 3.3 + 6.4m * 3.3) = m + 3.4 + 8.1m + 11.653
-19.5 + 11.1m + (25.74 + 21.12m) = m + 3.4 + 8.1m + 11.653

Reorder the terms:
-19.5 + 25.74 + 11.1m + 21.12m = m + 3.4 + 8.1m + 11.653

Combine like terms: -19.5 + 25.74 = 6.24
6.24 + 11.1m + 21.12m = m + 3.4 + 8.1m + 11.653

Combine like terms: 11.1m + 21.12m = 32.22m
6.24 + 32.22m = m + 3.4 + 8.1m + 11.653

Reorder the terms:
6.24 + 32.22m = 3.4 + 11.653 + m + 8.1m

Combine like terms: 3.4 + 11.653 = 15.053
6.24 + 32.22m = 15.053 + m + 8.1m

Combine like terms: m + 8.1m = 9.1m
6.24 + 32.22m = 15.053 + 9.1m

Solving
6.24 + 32.22m = 15.053 + 9.1m

Solving for variable 'm'.

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

Add '-9.1m' to each side of the equation.
6.24 + 32.22m + -9.1m = 15.053 + 9.1m + -9.1m

Combine like terms: 32.22m + -9.1m = 23.12m
6.24 + 23.12m = 15.053 + 9.1m + -9.1m

Combine like terms: 9.1m + -9.1m = 0.0
6.24 + 23.12m = 15.053 + 0.0
6.24 + 23.12m = 15.053

Add '-6.24' to each side of the equation.
6.24 + -6.24 + 23.12m = 15.053 + -6.24

Combine like terms: 6.24 + -6.24 = 0.00
0.00 + 23.12m = 15.053 + -6.24
23.12m = 15.053 + -6.24

Combine like terms: 15.053 + -6.24 = 8.813
23.12m = 8.813

Divide each side by '23.12'.
m = 0.3811851211

Simplifying
m = 0.3811851211

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