.33(r+6)=.166(r+8)

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Solution for .33(r+6)=.166(r+8) equation: 


Simplifying
0.33(r + 6) = 0.166(r + 8)

Reorder the terms:
0.33(6 + r) = 0.166(r + 8)
(6 * 0.33 + r * 0.33) = 0.166(r + 8)
(1.98 + 0.33r) = 0.166(r + 8)

Reorder the terms:
1.98 + 0.33r = 0.166(8 + r)
1.98 + 0.33r = (8 * 0.166 + r * 0.166)
1.98 + 0.33r = (1.328 + 0.166r)

Solving
1.98 + 0.33r = 1.328 + 0.166r

Solving for variable 'r'.

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

Add '-0.166r' to each side of the equation.
1.98 + 0.33r + -0.166r = 1.328 + 0.166r + -0.166r

Combine like terms: 0.33r + -0.166r = 0.164r
1.98 + 0.164r = 1.328 + 0.166r + -0.166r

Combine like terms: 0.166r + -0.166r = 0.000
1.98 + 0.164r = 1.328 + 0.000
1.98 + 0.164r = 1.328

Add '-1.98' to each side of the equation.
1.98 + -1.98 + 0.164r = 1.328 + -1.98

Combine like terms: 1.98 + -1.98 = 0.00
0.00 + 0.164r = 1.328 + -1.98
0.164r = 1.328 + -1.98

Combine like terms: 1.328 + -1.98 = -0.652
0.164r = -0.652

Divide each side by '0.164'.
r = -3.975609756

Simplifying
r = -3.975609756

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