.33(r+6)=.16(r+8)

Solution for .33(r+6)=.16(r+8) equation:

Simplifying
0.33(r + 6) = 0.16(r + 8)

Reorder the terms:
0.33(6 + r) = 0.16(r + 8)
(6 * 0.33 + r * 0.33) = 0.16(r + 8)
(1.98 + 0.33r) = 0.16(r + 8)

Reorder the terms:
1.98 + 0.33r = 0.16(8 + r)
1.98 + 0.33r = (8 * 0.16 + r * 0.16)
1.98 + 0.33r = (1.28 + 0.16r)

Solving
1.98 + 0.33r = 1.28 + 0.16r

Solving for variable 'r'.

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

Add '-0.16r' to each side of the equation.
1.98 + 0.33r + -0.16r = 1.28 + 0.16r + -0.16r

Combine like terms: 0.33r + -0.16r = 0.17r
1.98 + 0.17r = 1.28 + 0.16r + -0.16r

Combine like terms: 0.16r + -0.16r = 0.00
1.98 + 0.17r = 1.28 + 0.00
1.98 + 0.17r = 1.28

Add '-1.98' to each side of the equation.
1.98 + -1.98 + 0.17r = 1.28 + -1.98

Combine like terms: 1.98 + -1.98 = 0.00
0.00 + 0.17r = 1.28 + -1.98
0.17r = 1.28 + -1.98

Combine like terms: 1.28 + -1.98 = -0.7
0.17r = -0.7

Divide each side by '0.17'.
r = -4.117647059

Simplifying
r = -4.117647059