4(r-8)+3=5(r+3)-39

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Solution for 4(r-8)+3=5(r+3)-39 equation: 


Simplifying
4(r + -8) + 3 = 5(r + 3) + -39

Reorder the terms:
4(-8 + r) + 3 = 5(r + 3) + -39
(-8 * 4 + r * 4) + 3 = 5(r + 3) + -39
(-32 + 4r) + 3 = 5(r + 3) + -39

Reorder the terms:
-32 + 3 + 4r = 5(r + 3) + -39

Combine like terms: -32 + 3 = -29
-29 + 4r = 5(r + 3) + -39

Reorder the terms:
-29 + 4r = 5(3 + r) + -39
-29 + 4r = (3 * 5 + r * 5) + -39
-29 + 4r = (15 + 5r) + -39

Reorder the terms:
-29 + 4r = 15 + -39 + 5r

Combine like terms: 15 + -39 = -24
-29 + 4r = -24 + 5r

Solving
-29 + 4r = -24 + 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 = -24 + 5r + -5r

Combine like terms: 4r + -5r = -1r
-29 + -1r = -24 + 5r + -5r

Combine like terms: 5r + -5r = 0
-29 + -1r = -24 + 0
-29 + -1r = -24

Add '29' to each side of the equation.
-29 + 29 + -1r = -24 + 29

Combine like terms: -29 + 29 = 0
0 + -1r = -24 + 29
-1r = -24 + 29

Combine like terms: -24 + 29 = 5
-1r = 5

Divide each side by '-1'.
r = -5

Simplifying
r = -5

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