0.02(50)+0.08r=0.04(50-r)

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Solution for 0.02(50)+0.08r=0.04(50-r) equation: 


Simplifying
0.02(50) + 0.08r = 0.04(50 + -1r)

Multiply 0.02 * 50
1 + 0.08r = 0.04(50 + -1r)
1 + 0.08r = (50 * 0.04 + -1r * 0.04)
1 + 0.08r = (2 + -0.04r)

Solving
1 + 0.08r = 2 + -0.04r

Solving for variable 'r'.

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

Add '0.04r' to each side of the equation.
1 + 0.08r + 0.04r = 2 + -0.04r + 0.04r

Combine like terms: 0.08r + 0.04r = 0.12r
1 + 0.12r = 2 + -0.04r + 0.04r

Combine like terms: -0.04r + 0.04r = 0.00
1 + 0.12r = 2 + 0.00
1 + 0.12r = 2

Add '-1' to each side of the equation.
1 + -1 + 0.12r = 2 + -1

Combine like terms: 1 + -1 = 0
0 + 0.12r = 2 + -1
0.12r = 2 + -1

Combine like terms: 2 + -1 = 1
0.12r = 1

Divide each side by '0.12'.
r = 8.333333333

Simplifying
r = 8.333333333

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