-2(3r+6)-3(r-5)=

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Solution for -2(3r+6)-3(r-5)= equation:


Simplifying
-2(3r + 6) + -3(r + -5) = 0

Reorder the terms:
-2(6 + 3r) + -3(r + -5) = 0
(6 * -2 + 3r * -2) + -3(r + -5) = 0
(-12 + -6r) + -3(r + -5) = 0

Reorder the terms:
-12 + -6r + -3(-5 + r) = 0
-12 + -6r + (-5 * -3 + r * -3) = 0
-12 + -6r + (15 + -3r) = 0

Reorder the terms:
-12 + 15 + -6r + -3r = 0

Combine like terms: -12 + 15 = 3
3 + -6r + -3r = 0

Combine like terms: -6r + -3r = -9r
3 + -9r = 0

Solving
3 + -9r = 0

Solving for variable 'r'.

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

Add '-3' to each side of the equation.
3 + -3 + -9r = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -9r = 0 + -3
-9r = 0 + -3

Combine like terms: 0 + -3 = -3
-9r = -3

Divide each side by '-9'.
r = 0.3333333333

Simplifying
r = 0.3333333333

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