7r-4(5r-6)=-32-6r

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Solution for 7r-4(5r-6)=-32-6r equation:


Simplifying
7r + -4(5r + -6) = -32 + -6r

Reorder the terms:
7r + -4(-6 + 5r) = -32 + -6r
7r + (-6 * -4 + 5r * -4) = -32 + -6r
7r + (24 + -20r) = -32 + -6r

Reorder the terms:
24 + 7r + -20r = -32 + -6r

Combine like terms: 7r + -20r = -13r
24 + -13r = -32 + -6r

Solving
24 + -13r = -32 + -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.
24 + -13r + 6r = -32 + -6r + 6r

Combine like terms: -13r + 6r = -7r
24 + -7r = -32 + -6r + 6r

Combine like terms: -6r + 6r = 0
24 + -7r = -32 + 0
24 + -7r = -32

Add '-24' to each side of the equation.
24 + -24 + -7r = -32 + -24

Combine like terms: 24 + -24 = 0
0 + -7r = -32 + -24
-7r = -32 + -24

Combine like terms: -32 + -24 = -56
-7r = -56

Divide each side by '-7'.
r = 8

Simplifying
r = 8

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