-4r-4(8r-6)=-38-5r

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Solution for -4r-4(8r-6)=-38-5r equation:


Simplifying
-4r + -4(8r + -6) = -38 + -5r

Reorder the terms:
-4r + -4(-6 + 8r) = -38 + -5r
-4r + (-6 * -4 + 8r * -4) = -38 + -5r
-4r + (24 + -32r) = -38 + -5r

Reorder the terms:
24 + -4r + -32r = -38 + -5r

Combine like terms: -4r + -32r = -36r
24 + -36r = -38 + -5r

Solving
24 + -36r = -38 + -5r

Solving for variable 'r'.

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

Add '5r' to each side of the equation.
24 + -36r + 5r = -38 + -5r + 5r

Combine like terms: -36r + 5r = -31r
24 + -31r = -38 + -5r + 5r

Combine like terms: -5r + 5r = 0
24 + -31r = -38 + 0
24 + -31r = -38

Add '-24' to each side of the equation.
24 + -24 + -31r = -38 + -24

Combine like terms: 24 + -24 = 0
0 + -31r = -38 + -24
-31r = -38 + -24

Combine like terms: -38 + -24 = -62
-31r = -62

Divide each side by '-31'.
r = 2

Simplifying
r = 2

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