2-3r=-2(r+9)-2

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


Simplifying
2 + -3r = -2(r + 9) + -2

Reorder the terms:
2 + -3r = -2(9 + r) + -2
2 + -3r = (9 * -2 + r * -2) + -2
2 + -3r = (-18 + -2r) + -2

Reorder the terms:
2 + -3r = -18 + -2 + -2r

Combine like terms: -18 + -2 = -20
2 + -3r = -20 + -2r

Solving
2 + -3r = -20 + -2r

Solving for variable 'r'.

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

Add '2r' to each side of the equation.
2 + -3r + 2r = -20 + -2r + 2r

Combine like terms: -3r + 2r = -1r
2 + -1r = -20 + -2r + 2r

Combine like terms: -2r + 2r = 0
2 + -1r = -20 + 0
2 + -1r = -20

Add '-2' to each side of the equation.
2 + -2 + -1r = -20 + -2

Combine like terms: 2 + -2 = 0
0 + -1r = -20 + -2
-1r = -20 + -2

Combine like terms: -20 + -2 = -22
-1r = -22

Divide each side by '-1'.
r = 22

Simplifying
r = 22

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