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−1,4m+6+1,9=(−8+1,9)−1,8m equation

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Numerical solution:

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The solution

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  7*m       19   19       9*m
- --- + 6 + -- = -- - 8 - ---
   5        10   10        5 
$$\left(6 - \frac{7 m}{5}\right) + \frac{19}{10} = - \frac{9 m}{5} + \left(-8 + \frac{19}{10}\right)$$
Detail solution
Given the linear equation:
-(7/5)*m+6+(19/10) = (-8+(19/10))-(9/5)*m

Expand brackets in the left part
-7/5m+6+19/10 = (-8+(19/10))-(9/5)*m

Expand brackets in the right part
-7/5m+6+19/10 = -8+19/10)-9/5m

Looking for similar summands in the left part:
79/10 - 7*m/5 = -8+19/10)-9/5m

Move free summands (without m)
from left part to right part, we given:
$$- \frac{7 m}{5} = - \frac{9 m}{5} - 14$$
Move the summands with the unknown m
from the right part to the left part:
$$\frac{2 m}{5} = -14$$
Divide both parts of the equation by 2/5
m = -14 / (2/5)

We get the answer: m = -35
The graph
Rapid solution [src]
m1 = -35
$$m_{1} = -35$$
m1 = -35
Sum and product of roots [src]
sum
-35
$$-35$$
=
-35
$$-35$$
product
-35
$$-35$$
=
-35
$$-35$$
-35
Numerical answer [src]
m1 = -35.0
m1 = -35.0