.142(14r+28)=2(r+2)

Solution for .142(14r+28)=2(r+2) equation:

Simplifying
0.142(14r + 28) = 2(r + 2)

Reorder the terms:
0.142(28 + 14r) = 2(r + 2)
(28 * 0.142 + 14r * 0.142) = 2(r + 2)
(3.976 + 1.988r) = 2(r + 2)

Reorder the terms:
3.976 + 1.988r = 2(2 + r)
3.976 + 1.988r = (2 * 2 + r * 2)
3.976 + 1.988r = (4 + 2r)

Solving
3.976 + 1.988r = 4 + 2r

Solving for variable 'r'.

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

Add '-2r' to each side of the equation.
3.976 + 1.988r + -2r = 4 + 2r + -2r

Combine like terms: 1.988r + -2r = -0.012r
3.976 + -0.012r = 4 + 2r + -2r

Combine like terms: 2r + -2r = 0
3.976 + -0.012r = 4 + 0
3.976 + -0.012r = 4

Add '-3.976' to each side of the equation.
3.976 + -3.976 + -0.012r = 4 + -3.976

Combine like terms: 3.976 + -3.976 = 0.000
0.000 + -0.012r = 4 + -3.976
-0.012r = 4 + -3.976

Combine like terms: 4 + -3.976 = 0.024
-0.012r = 0.024

Divide each side by '-0.012'.
r = -2

Simplifying
r = -2