.25(r+8)=r-8

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Solution for .25(r+8)=r-8 equation:


Simplifying
0.25(r + 8) = r + -8

Reorder the terms:
0.25(8 + r) = r + -8
(8 * 0.25 + r * 0.25) = r + -8
(2 + 0.25r) = r + -8

Reorder the terms:
2 + 0.25r = -8 + r

Solving
2 + 0.25r = -8 + r

Solving for variable 'r'.

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

Add '-1r' to each side of the equation.
2 + 0.25r + -1r = -8 + r + -1r

Combine like terms: 0.25r + -1r = -0.75r
2 + -0.75r = -8 + r + -1r

Combine like terms: r + -1r = 0
2 + -0.75r = -8 + 0
2 + -0.75r = -8

Add '-2' to each side of the equation.
2 + -2 + -0.75r = -8 + -2

Combine like terms: 2 + -2 = 0
0 + -0.75r = -8 + -2
-0.75r = -8 + -2

Combine like terms: -8 + -2 = -10
-0.75r = -10

Divide each side by '-0.75'.
r = 13.33333333

Simplifying
r = 13.33333333

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