.02(50)+0.08r=.04(50+r)

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Solution for .02(50)+0.08r=.04(50+r) equation: 


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

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

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

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

Combine like terms: 1 + -1 = 0
0 + 0.04r = 2 + -1
0.04r = 2 + -1

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

Divide each side by '0.04'.
r = 25

Simplifying
r = 25

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