0.3(r+3)=-0.1(-2r-4)

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Solution for 0.3(r+3)=-0.1(-2r-4) equation: 


Simplifying
0.3(r + 3) = -0.1(-2r + -4)

Reorder the terms:
0.3(3 + r) = -0.1(-2r + -4)
(3 * 0.3 + r * 0.3) = -0.1(-2r + -4)
(0.9 + 0.3r) = -0.1(-2r + -4)

Reorder the terms:
0.9 + 0.3r = -0.1(-4 + -2r)
0.9 + 0.3r = (-4 * -0.1 + -2r * -0.1)
0.9 + 0.3r = (0.4 + 0.2r)

Solving
0.9 + 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.
0.9 + 0.3r + -0.2r = 0.4 + 0.2r + -0.2r

Combine like terms: 0.3r + -0.2r = 0.1r
0.9 + 0.1r = 0.4 + 0.2r + -0.2r

Combine like terms: 0.2r + -0.2r = 0.0
0.9 + 0.1r = 0.4 + 0.0
0.9 + 0.1r = 0.4

Add '-0.9' to each side of the equation.
0.9 + -0.9 + 0.1r = 0.4 + -0.9

Combine like terms: 0.9 + -0.9 = 0.0
0.0 + 0.1r = 0.4 + -0.9
0.1r = 0.4 + -0.9

Combine like terms: 0.4 + -0.9 = -0.5
0.1r = -0.5

Divide each side by '0.1'.
r = -5

Simplifying
r = -5

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