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 = -10r
12 + -2r = -4 + -10r

Solving
12 + -2r = -4 + -10r

Solving for variable 'r'.

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

Add '10r' to each side of the equation.
12 + -2r + 10r = -4 + -10r + 10r

Combine like terms: -2r + 10r = 8r
12 + 8r = -4 + -10r + 10r

Combine like terms: -10r + 10r = 0
12 + 8r = -4 + 0
12 + 8r = -4

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

Combine like terms: 12 + -12 = 0
0 + 8r = -4 + -12
8r = -4 + -12

Combine like terms: -4 + -12 = -16
8r = -16

Divide each side by '8'.
r = -2

Simplifying
r = -2

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