3(r-6)+2=4(r+2)-31

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Solution for 3(r-6)+2=4(r+2)-31 equation: 


Simplifying
3(r + -6) + 2 = 4(r + 2) + -31

Reorder the terms:
3(-6 + r) + 2 = 4(r + 2) + -31
(-6 * 3 + r * 3) + 2 = 4(r + 2) + -31
(-18 + 3r) + 2 = 4(r + 2) + -31

Reorder the terms:
-18 + 2 + 3r = 4(r + 2) + -31

Combine like terms: -18 + 2 = -16
-16 + 3r = 4(r + 2) + -31

Reorder the terms:
-16 + 3r = 4(2 + r) + -31
-16 + 3r = (2 * 4 + r * 4) + -31
-16 + 3r = (8 + 4r) + -31

Reorder the terms:
-16 + 3r = 8 + -31 + 4r

Combine like terms: 8 + -31 = -23
-16 + 3r = -23 + 4r

Solving
-16 + 3r = -23 + 4r

Solving for variable 'r'.

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

Add '-4r' to each side of the equation.
-16 + 3r + -4r = -23 + 4r + -4r

Combine like terms: 3r + -4r = -1r
-16 + -1r = -23 + 4r + -4r

Combine like terms: 4r + -4r = 0
-16 + -1r = -23 + 0
-16 + -1r = -23

Add '16' to each side of the equation.
-16 + 16 + -1r = -23 + 16

Combine like terms: -16 + 16 = 0
0 + -1r = -23 + 16
-1r = -23 + 16

Combine like terms: -23 + 16 = -7
-1r = -7

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

Simplifying
r = 7

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