6.9(r-3)=3.3r-27.9

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Solution for 6.9(r-3)=3.3r-27.9 equation: 


Simplifying
6.9(r + -3) = 3.3r + -27.9

Reorder the terms:
6.9(-3 + r) = 3.3r + -27.9
(-3 * 6.9 + r * 6.9) = 3.3r + -27.9
(-20.7 + 6.9r) = 3.3r + -27.9

Reorder the terms:
-20.7 + 6.9r = -27.9 + 3.3r

Solving
-20.7 + 6.9r = -27.9 + 3.3r

Solving for variable 'r'.

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

Add '-3.3r' to each side of the equation.
-20.7 + 6.9r + -3.3r = -27.9 + 3.3r + -3.3r

Combine like terms: 6.9r + -3.3r = 3.6r
-20.7 + 3.6r = -27.9 + 3.3r + -3.3r

Combine like terms: 3.3r + -3.3r = 0.0
-20.7 + 3.6r = -27.9 + 0.0
-20.7 + 3.6r = -27.9

Add '20.7' to each side of the equation.
-20.7 + 20.7 + 3.6r = -27.9 + 20.7

Combine like terms: -20.7 + 20.7 = 0.0
0.0 + 3.6r = -27.9 + 20.7
3.6r = -27.9 + 20.7

Combine like terms: -27.9 + 20.7 = -7.2
3.6r = -7.2

Divide each side by '3.6'.
r = -2

Simplifying
r = -2

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