0.02(6r-3)=0.04(1+-2)+0.02

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Solution for 0.02(6r-3)=0.04(1+-2)+0.02 equation: 


Simplifying
0.02(6r + -3) = 0.04(1 + -2) + 0.02

Reorder the terms:
0.02(-3 + 6r) = 0.04(1 + -2) + 0.02
(-3 * 0.02 + 6r * 0.02) = 0.04(1 + -2) + 0.02
(-0.06 + 0.12r) = 0.04(1 + -2) + 0.02

Combine like terms: 1 + -2 = -1
-0.06 + 0.12r = 0.04(-1) + 0.02

Multiply 0.04 * -1
-0.06 + 0.12r = -0.04 + 0.02

Combine like terms: -0.04 + 0.02 = -0.02
-0.06 + 0.12r = -0.02

Solving
-0.06 + 0.12r = -0.02

Solving for variable 'r'.

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

Add '0.06' to each side of the equation.
-0.06 + 0.06 + 0.12r = -0.02 + 0.06

Combine like terms: -0.06 + 0.06 = 0.00
0.00 + 0.12r = -0.02 + 0.06
0.12r = -0.02 + 0.06

Combine like terms: -0.02 + 0.06 = 0.04
0.12r = 0.04

Divide each side by '0.12'.
r = 0.3333333333

Simplifying
r = 0.3333333333

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