4(r-8)+2=5(r+2)-23

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Solution for 4(r-8)+2=5(r+2)-23 equation:


Simplifying
4(r + -8) + 2 = 5(r + 2) + -23

Reorder the terms:
4(-8 + r) + 2 = 5(r + 2) + -23
(-8 * 4 + r * 4) + 2 = 5(r + 2) + -23
(-32 + 4r) + 2 = 5(r + 2) + -23

Reorder the terms:
-32 + 2 + 4r = 5(r + 2) + -23

Combine like terms: -32 + 2 = -30
-30 + 4r = 5(r + 2) + -23

Reorder the terms:
-30 + 4r = 5(2 + r) + -23
-30 + 4r = (2 * 5 + r * 5) + -23
-30 + 4r = (10 + 5r) + -23

Reorder the terms:
-30 + 4r = 10 + -23 + 5r

Combine like terms: 10 + -23 = -13
-30 + 4r = -13 + 5r

Solving
-30 + 4r = -13 + 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.
-30 + 4r + -5r = -13 + 5r + -5r

Combine like terms: 4r + -5r = -1r
-30 + -1r = -13 + 5r + -5r

Combine like terms: 5r + -5r = 0
-30 + -1r = -13 + 0
-30 + -1r = -13

Add '30' to each side of the equation.
-30 + 30 + -1r = -13 + 30

Combine like terms: -30 + 30 = 0
0 + -1r = -13 + 30
-1r = -13 + 30

Combine like terms: -13 + 30 = 17
-1r = 17

Divide each side by '-1'.
r = -17

Simplifying
r = -17

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