-4(r+1)=-(2r-4)-6

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Solution for -4(r+1)=-(2r-4)-6 equation: 


Simplifying
-4(r + 1) = -1(2r + -4) + -6

Reorder the terms:
-4(1 + r) = -1(2r + -4) + -6
(1 * -4 + r * -4) = -1(2r + -4) + -6
(-4 + -4r) = -1(2r + -4) + -6

Reorder the terms:
-4 + -4r = -1(-4 + 2r) + -6
-4 + -4r = (-4 * -1 + 2r * -1) + -6
-4 + -4r = (4 + -2r) + -6

Reorder the terms:
-4 + -4r = 4 + -6 + -2r

Combine like terms: 4 + -6 = -2
-4 + -4r = -2 + -2r

Solving
-4 + -4r = -2 + -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.
-4 + -4r + 2r = -2 + -2r + 2r

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

Combine like terms: -2r + 2r = 0
-4 + -2r = -2 + 0
-4 + -2r = -2

Add '4' to each side of the equation.
-4 + 4 + -2r = -2 + 4

Combine like terms: -4 + 4 = 0
0 + -2r = -2 + 4
-2r = -2 + 4

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

Divide each side by '-2'.
r = -1

Simplifying
r = -1

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