4(1-r)-7r=-38-4r

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Solution for 4(1-r)-7r=-38-4r equation: 


Simplifying
4(1 + -1r) + -7r = -38 + -4r
(1 * 4 + -1r * 4) + -7r = -38 + -4r
(4 + -4r) + -7r = -38 + -4r

Combine like terms: -4r + -7r = -11r
4 + -11r = -38 + -4r

Solving
4 + -11r = -38 + -4r

Solving for variable 'r'.

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

Add '4r' to each side of the equation.
4 + -11r + 4r = -38 + -4r + 4r

Combine like terms: -11r + 4r = -7r
4 + -7r = -38 + -4r + 4r

Combine like terms: -4r + 4r = 0
4 + -7r = -38 + 0
4 + -7r = -38

Add '-4' to each side of the equation.
4 + -4 + -7r = -38 + -4

Combine like terms: 4 + -4 = 0
0 + -7r = -38 + -4
-7r = -38 + -4

Combine like terms: -38 + -4 = -42
-7r = -42

Divide each side by '-7'.
r = 6

Simplifying
r = 6

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