2(12+3r)=-9r-4(-4r-5)

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Solution for 2(12+3r)=-9r-4(-4r-5) equation:


Simplifying
2(12 + 3r) = -9r + -4(-4r + -5)
(12 * 2 + 3r * 2) = -9r + -4(-4r + -5)
(24 + 6r) = -9r + -4(-4r + -5)

Reorder the terms:
24 + 6r = -9r + -4(-5 + -4r)
24 + 6r = -9r + (-5 * -4 + -4r * -4)
24 + 6r = -9r + (20 + 16r)

Reorder the terms:
24 + 6r = 20 + -9r + 16r

Combine like terms: -9r + 16r = 7r
24 + 6r = 20 + 7r

Solving
24 + 6r = 20 + 7r

Solving for variable 'r'.

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

Add '-7r' to each side of the equation.
24 + 6r + -7r = 20 + 7r + -7r

Combine like terms: 6r + -7r = -1r
24 + -1r = 20 + 7r + -7r

Combine like terms: 7r + -7r = 0
24 + -1r = 20 + 0
24 + -1r = 20

Add '-24' to each side of the equation.
24 + -24 + -1r = 20 + -24

Combine like terms: 24 + -24 = 0
0 + -1r = 20 + -24
-1r = 20 + -24

Combine like terms: 20 + -24 = -4
-1r = -4

Divide each side by '-1'.
r = 4

Simplifying
r = 4

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