0.3r+2=-0.1(-2r-4)

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Solution for 0.3r+2=-0.1(-2r-4) equation: 


Simplifying
0.3r + 2 = -0.1(-2r + -4)

Reorder the terms:
2 + 0.3r = -0.1(-2r + -4)

Reorder the terms:
2 + 0.3r = -0.1(-4 + -2r)
2 + 0.3r = (-4 * -0.1 + -2r * -0.1)
2 + 0.3r = (0.4 + 0.2r)

Solving
2 + 0.3r = 0.4 + 0.2r

Solving for variable 'r'.

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

Add '-0.2r' to each side of the equation.
2 + 0.3r + -0.2r = 0.4 + 0.2r + -0.2r

Combine like terms: 0.3r + -0.2r = 0.1r
2 + 0.1r = 0.4 + 0.2r + -0.2r

Combine like terms: 0.2r + -0.2r = 0.0
2 + 0.1r = 0.4 + 0.0
2 + 0.1r = 0.4

Add '-2' to each side of the equation.
2 + -2 + 0.1r = 0.4 + -2

Combine like terms: 2 + -2 = 0
0 + 0.1r = 0.4 + -2
0.1r = 0.4 + -2

Combine like terms: 0.4 + -2 = -1.6
0.1r = -1.6

Divide each side by '0.1'.
r = -16

Simplifying
r = -16

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