6(3-2r)+22=-4(r-2)

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Solution for 6(3-2r)+22=-4(r-2) equation: 


Simplifying
6(3 + -2r) + 22 = -4(r + -2)
(3 * 6 + -2r * 6) + 22 = -4(r + -2)
(18 + -12r) + 22 = -4(r + -2)

Reorder the terms:
18 + 22 + -12r = -4(r + -2)

Combine like terms: 18 + 22 = 40
40 + -12r = -4(r + -2)

Reorder the terms:
40 + -12r = -4(-2 + r)
40 + -12r = (-2 * -4 + r * -4)
40 + -12r = (8 + -4r)

Solving
40 + -12r = 8 + -4r

Solving for variable 'r'.

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

Add '4r' to each side of the equation.
40 + -12r + 4r = 8 + -4r + 4r

Combine like terms: -12r + 4r = -8r
40 + -8r = 8 + -4r + 4r

Combine like terms: -4r + 4r = 0
40 + -8r = 8 + 0
40 + -8r = 8

Add '-40' to each side of the equation.
40 + -40 + -8r = 8 + -40

Combine like terms: 40 + -40 = 0
0 + -8r = 8 + -40
-8r = 8 + -40

Combine like terms: 8 + -40 = -32
-8r = -32

Divide each side by '-8'.
r = 4

Simplifying
r = 4

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