-(r-1)+2r=-4(-r-2)-2r

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Solution for -(r-1)+2r=-4(-r-2)-2r equation:


Simplifying
-1(r + -1) + 2r = -4(-1r + -2) + -2r

Reorder the terms:
-1(-1 + r) + 2r = -4(-1r + -2) + -2r
(-1 * -1 + r * -1) + 2r = -4(-1r + -2) + -2r
(1 + -1r) + 2r = -4(-1r + -2) + -2r

Combine like terms: -1r + 2r = 1r
1 + 1r = -4(-1r + -2) + -2r

Reorder the terms:
1 + 1r = -4(-2 + -1r) + -2r
1 + 1r = (-2 * -4 + -1r * -4) + -2r
1 + 1r = (8 + 4r) + -2r

Combine like terms: 4r + -2r = 2r
1 + 1r = 8 + 2r

Solving
1 + 1r = 8 + 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.
1 + 1r + -2r = 8 + 2r + -2r

Combine like terms: 1r + -2r = -1r
1 + -1r = 8 + 2r + -2r

Combine like terms: 2r + -2r = 0
1 + -1r = 8 + 0
1 + -1r = 8

Add '-1' to each side of the equation.
1 + -1 + -1r = 8 + -1

Combine like terms: 1 + -1 = 0
0 + -1r = 8 + -1
-1r = 8 + -1

Combine like terms: 8 + -1 = 7
-1r = 7

Divide each side by '-1'.
r = -7

Simplifying
r = -7

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