8r*2+3r+2=7r*2

Solution for 8r*2+3r+2=7r*2 equation:

Simplifying
8r * 2 + 3r + 2 = 7r * 2

Reorder the terms for easier multiplication:
8 * 2r + 3r + 2 = 7r * 2

Multiply 8 * 2
16r + 3r + 2 = 7r * 2

Reorder the terms:
2 + 16r + 3r = 7r * 2

Combine like terms: 16r + 3r = 19r
2 + 19r = 7r * 2

Reorder the terms for easier multiplication:
2 + 19r = 7 * 2r

Multiply 7 * 2
2 + 19r = 14r

Solving
2 + 19r = 14r

Solving for variable 'r'.

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

Add '-14r' to each side of the equation.
2 + 19r + -14r = 14r + -14r

Combine like terms: 19r + -14r = 5r
2 + 5r = 14r + -14r

Combine like terms: 14r + -14r = 0
2 + 5r = 0

Add '-2' to each side of the equation.
2 + -2 + 5r = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 5r = 0 + -2
5r = 0 + -2

Combine like terms: 0 + -2 = -2
5r = -2

Divide each side by '5'.
r = -0.4

Simplifying
r = -0.4