-2(2r+6)-4(5r-6)-5r=

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Solution for -2(2r+6)-4(5r-6)-5r= equation:


Simplifying
-2(2r + 6) + -4(5r + -6) + -5r = 0

Reorder the terms:
-2(6 + 2r) + -4(5r + -6) + -5r = 0
(6 * -2 + 2r * -2) + -4(5r + -6) + -5r = 0
(-12 + -4r) + -4(5r + -6) + -5r = 0

Reorder the terms:
-12 + -4r + -4(-6 + 5r) + -5r = 0
-12 + -4r + (-6 * -4 + 5r * -4) + -5r = 0
-12 + -4r + (24 + -20r) + -5r = 0

Reorder the terms:
-12 + 24 + -4r + -20r + -5r = 0

Combine like terms: -12 + 24 = 12
12 + -4r + -20r + -5r = 0

Combine like terms: -4r + -20r = -24r
12 + -24r + -5r = 0

Combine like terms: -24r + -5r = -29r
12 + -29r = 0

Solving
12 + -29r = 0

Solving for variable 'r'.

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

Add '-12' to each side of the equation.
12 + -12 + -29r = 0 + -12

Combine like terms: 12 + -12 = 0
0 + -29r = 0 + -12
-29r = 0 + -12

Combine like terms: 0 + -12 = -12
-29r = -12

Divide each side by '-29'.
r = 0.4137931034

Simplifying
r = 0.4137931034

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