4(r-8)+3=5(r+2)-32

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Solution for 4(r-8)+3=5(r+2)-32 equation: 


Simplifying
4(r + -8) + 3 = 5(r + 2) + -32

Reorder the terms:
4(-8 + r) + 3 = 5(r + 2) + -32
(-8 * 4 + r * 4) + 3 = 5(r + 2) + -32
(-32 + 4r) + 3 = 5(r + 2) + -32

Reorder the terms:
-32 + 3 + 4r = 5(r + 2) + -32

Combine like terms: -32 + 3 = -29
-29 + 4r = 5(r + 2) + -32

Reorder the terms:
-29 + 4r = 5(2 + r) + -32
-29 + 4r = (2 * 5 + r * 5) + -32
-29 + 4r = (10 + 5r) + -32

Reorder the terms:
-29 + 4r = 10 + -32 + 5r

Combine like terms: 10 + -32 = -22
-29 + 4r = -22 + 5r

Solving
-29 + 4r = -22 + 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.
-29 + 4r + -5r = -22 + 5r + -5r

Combine like terms: 4r + -5r = -1r
-29 + -1r = -22 + 5r + -5r

Combine like terms: 5r + -5r = 0
-29 + -1r = -22 + 0
-29 + -1r = -22

Add '29' to each side of the equation.
-29 + 29 + -1r = -22 + 29

Combine like terms: -29 + 29 = 0
0 + -1r = -22 + 29
-1r = -22 + 29

Combine like terms: -22 + 29 = 7
-1r = 7

Divide each side by '-1'.
r = -7

Simplifying
r = -7

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