0.4r-0.5=5.3r+0.7

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Solution for 0.4r-0.5=5.3r+0.7 equation:


Simplifying
0.4r + -0.5 = 5.3r + 0.7

Reorder the terms:
-0.5 + 0.4r = 5.3r + 0.7

Reorder the terms:
-0.5 + 0.4r = 0.7 + 5.3r

Solving
-0.5 + 0.4r = 0.7 + 5.3r

Solving for variable 'r'.

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

Add '-5.3r' to each side of the equation.
-0.5 + 0.4r + -5.3r = 0.7 + 5.3r + -5.3r

Combine like terms: 0.4r + -5.3r = -4.9r
-0.5 + -4.9r = 0.7 + 5.3r + -5.3r

Combine like terms: 5.3r + -5.3r = 0.0
-0.5 + -4.9r = 0.7 + 0.0
-0.5 + -4.9r = 0.7

Add '0.5' to each side of the equation.
-0.5 + 0.5 + -4.9r = 0.7 + 0.5

Combine like terms: -0.5 + 0.5 = 0.0
0.0 + -4.9r = 0.7 + 0.5
-4.9r = 0.7 + 0.5

Combine like terms: 0.7 + 0.5 = 1.2
-4.9r = 1.2

Divide each side by '-4.9'.
r = -0.2448979592

Simplifying
r = -0.2448979592

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