2(-r+5)+2=2r-4(1+2r)

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Solution for 2(-r+5)+2=2r-4(1+2r) equation: 


Simplifying
2(-1r + 5) + 2 = 2r + -4(1 + 2r)

Reorder the terms:
2(5 + -1r) + 2 = 2r + -4(1 + 2r)
(5 * 2 + -1r * 2) + 2 = 2r + -4(1 + 2r)
(10 + -2r) + 2 = 2r + -4(1 + 2r)

Reorder the terms:
10 + 2 + -2r = 2r + -4(1 + 2r)

Combine like terms: 10 + 2 = 12
12 + -2r = 2r + -4(1 + 2r)
12 + -2r = 2r + (1 * -4 + 2r * -4)
12 + -2r = 2r + (-4 + -8r)

Reorder the terms:
12 + -2r = -4 + 2r + -8r

Combine like terms: 2r + -8r = -6r
12 + -2r = -4 + -6r

Solving
12 + -2r = -4 + -6r

Solving for variable 'r'.

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

Add '6r' to each side of the equation.
12 + -2r + 6r = -4 + -6r + 6r

Combine like terms: -2r + 6r = 4r
12 + 4r = -4 + -6r + 6r

Combine like terms: -6r + 6r = 0
12 + 4r = -4 + 0
12 + 4r = -4

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

Combine like terms: 12 + -12 = 0
0 + 4r = -4 + -12
4r = -4 + -12

Combine like terms: -4 + -12 = -16
4r = -16

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

Simplifying
r = -4

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