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

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


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

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

Combine like terms: 1 + 0.08 = 1.08
1.08 = 0.04(50 + r)
1.08 = (50 * 0.04 + r * 0.04)
1.08 = (2 + 0.04r)

Solving
1.08 = 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.
1.08 + -0.04r = 2 + 0.04r + -0.04r

Combine like terms: 0.04r + -0.04r = 0.00
1.08 + -0.04r = 2 + 0.00
1.08 + -0.04r = 2

Add '-1.08' to each side of the equation.
1.08 + -1.08 + -0.04r = 2 + -1.08

Combine like terms: 1.08 + -1.08 = 0.00
0.00 + -0.04r = 2 + -1.08
-0.04r = 2 + -1.08

Combine like terms: 2 + -1.08 = 0.92
-0.04r = 0.92

Divide each side by '-0.04'.
r = -23

Simplifying
r = -23

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