1.7(14r+28)=2(r+2)

Solution for 1.7(14r+28)=2(r+2) equation:

Simplifying
1.7(14r + 28) = 2(r + 2)

Reorder the terms:
1.7(28 + 14r) = 2(r + 2)
(28 * 1.7 + 14r * 1.7) = 2(r + 2)
(47.6 + 23.8r) = 2(r + 2)

Reorder the terms:
47.6 + 23.8r = 2(2 + r)
47.6 + 23.8r = (2 * 2 + r * 2)
47.6 + 23.8r = (4 + 2r)

Solving
47.6 + 23.8r = 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.
47.6 + 23.8r + -2r = 4 + 2r + -2r

Combine like terms: 23.8r + -2r = 21.8r
47.6 + 21.8r = 4 + 2r + -2r

Combine like terms: 2r + -2r = 0
47.6 + 21.8r = 4 + 0
47.6 + 21.8r = 4

Add '-47.6' to each side of the equation.
47.6 + -47.6 + 21.8r = 4 + -47.6

Combine like terms: 47.6 + -47.6 = 0.0
0.0 + 21.8r = 4 + -47.6
21.8r = 4 + -47.6

Combine like terms: 4 + -47.6 = -43.6
21.8r = -43.6

Divide each side by '21.8'.
r = -2

Simplifying
r = -2