3(3r-6)-4(r-5)=

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Solution for 3(3r-6)-4(r-5)= equation: 


Simplifying
3(3r + -6) + -4(r + -5) = 0

Reorder the terms:
3(-6 + 3r) + -4(r + -5) = 0
(-6 * 3 + 3r * 3) + -4(r + -5) = 0
(-18 + 9r) + -4(r + -5) = 0

Reorder the terms:
-18 + 9r + -4(-5 + r) = 0
-18 + 9r + (-5 * -4 + r * -4) = 0
-18 + 9r + (20 + -4r) = 0

Reorder the terms:
-18 + 20 + 9r + -4r = 0

Combine like terms: -18 + 20 = 2
2 + 9r + -4r = 0

Combine like terms: 9r + -4r = 5r
2 + 5r = 0

Solving
2 + 5r = 0

Solving for variable 'r'.

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

Add '-2' to each side of the equation.
2 + -2 + 5r = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 5r = 0 + -2
5r = 0 + -2

Combine like terms: 0 + -2 = -2
5r = -2

Divide each side by '5'.
r = -0.4

Simplifying
r = -0.4

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