.5(9m+6.5)+3(7.4-3m)=67

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Solution for .5(9m+6.5)+3(7.4-3m)=67 equation: 


Simplifying
0.5(9m + 6.5) + 3(7.4 + -3m) = 67

Reorder the terms:
0.5(6.5 + 9m) + 3(7.4 + -3m) = 67
(6.5 * 0.5 + 9m * 0.5) + 3(7.4 + -3m) = 67
(3.25 + 4.5m) + 3(7.4 + -3m) = 67
3.25 + 4.5m + (7.4 * 3 + -3m * 3) = 67
3.25 + 4.5m + (22.2 + -9m) = 67

Reorder the terms:
3.25 + 22.2 + 4.5m + -9m = 67

Combine like terms: 3.25 + 22.2 = 25.45
25.45 + 4.5m + -9m = 67

Combine like terms: 4.5m + -9m = -4.5m
25.45 + -4.5m = 67

Solving
25.45 + -4.5m = 67

Solving for variable 'm'.

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

Add '-25.45' to each side of the equation.
25.45 + -25.45 + -4.5m = 67 + -25.45

Combine like terms: 25.45 + -25.45 = 0.00
0.00 + -4.5m = 67 + -25.45
-4.5m = 67 + -25.45

Combine like terms: 67 + -25.45 = 41.55
-4.5m = 41.55

Divide each side by '-4.5'.
m = -9.233333333

Simplifying
m = -9.233333333

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