2.5r-(2-5r)=-2.6+6.1r

Solution for 2.5r-(2-5r)=-2.6+6.1r equation:

Simplifying
2.5r + -1(2 + -5r) = -2.6 + 6.1r
2.5r + (2 * -1 + -5r * -1) = -2.6 + 6.1r
2.5r + (-2 + 5r) = -2.6 + 6.1r

Reorder the terms:
-2 + 2.5r + 5r = -2.6 + 6.1r

Combine like terms: 2.5r + 5r = 7.5r
-2 + 7.5r = -2.6 + 6.1r

Solving
-2 + 7.5r = -2.6 + 6.1r

Solving for variable 'r'.

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

Add '-6.1r' to each side of the equation.
-2 + 7.5r + -6.1r = -2.6 + 6.1r + -6.1r

Combine like terms: 7.5r + -6.1r = 1.4r
-2 + 1.4r = -2.6 + 6.1r + -6.1r

Combine like terms: 6.1r + -6.1r = 0.0
-2 + 1.4r = -2.6 + 0.0
-2 + 1.4r = -2.6

Add '2' to each side of the equation.
-2 + 2 + 1.4r = -2.6 + 2

Combine like terms: -2 + 2 = 0
0 + 1.4r = -2.6 + 2
1.4r = -2.6 + 2

Combine like terms: -2.6 + 2 = -0.6
1.4r = -0.6

Divide each side by '1.4'.
r = -0.4285714286

Simplifying
r = -0.4285714286