2-6(4-r)=-2r+34

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Solution for 2-6(4-r)=-2r+34 equation: 


Simplifying
2 + -6(4 + -1r) = -2r + 34
2 + (4 * -6 + -1r * -6) = -2r + 34
2 + (-24 + 6r) = -2r + 34

Combine like terms: 2 + -24 = -22
-22 + 6r = -2r + 34

Reorder the terms:
-22 + 6r = 34 + -2r

Solving
-22 + 6r = 34 + -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.
-22 + 6r + 2r = 34 + -2r + 2r

Combine like terms: 6r + 2r = 8r
-22 + 8r = 34 + -2r + 2r

Combine like terms: -2r + 2r = 0
-22 + 8r = 34 + 0
-22 + 8r = 34

Add '22' to each side of the equation.
-22 + 22 + 8r = 34 + 22

Combine like terms: -22 + 22 = 0
0 + 8r = 34 + 22
8r = 34 + 22

Combine like terms: 34 + 22 = 56
8r = 56

Divide each side by '8'.
r = 7

Simplifying
r = 7

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