.25(r+6)=.125(r+8)

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Solution for .25(r+6)=.125(r+8) equation: 


Simplifying
0.25(r + 6) = 0.125(r + 8)

Reorder the terms:
0.25(6 + r) = 0.125(r + 8)
(6 * 0.25 + r * 0.25) = 0.125(r + 8)
(1.5 + 0.25r) = 0.125(r + 8)

Reorder the terms:
1.5 + 0.25r = 0.125(8 + r)
1.5 + 0.25r = (8 * 0.125 + r * 0.125)
1.5 + 0.25r = (1 + 0.125r)

Solving
1.5 + 0.25r = 1 + 0.125r

Solving for variable 'r'.

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

Add '-0.125r' to each side of the equation.
1.5 + 0.25r + -0.125r = 1 + 0.125r + -0.125r

Combine like terms: 0.25r + -0.125r = 0.125r
1.5 + 0.125r = 1 + 0.125r + -0.125r

Combine like terms: 0.125r + -0.125r = 0.000
1.5 + 0.125r = 1 + 0.000
1.5 + 0.125r = 1

Add '-1.5' to each side of the equation.
1.5 + -1.5 + 0.125r = 1 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + 0.125r = 1 + -1.5
0.125r = 1 + -1.5

Combine like terms: 1 + -1.5 = -0.5
0.125r = -0.5

Divide each side by '0.125'.
r = -4

Simplifying
r = -4

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