16(r-1)=12r+36

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Solution for 16(r-1)=12r+36 equation:


Simplifying
16(r + -1) = 12r + 36

Reorder the terms:
16(-1 + r) = 12r + 36
(-1 * 16 + r * 16) = 12r + 36
(-16 + 16r) = 12r + 36

Reorder the terms:
-16 + 16r = 36 + 12r

Solving
-16 + 16r = 36 + 12r

Solving for variable 'r'.

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

Add '-12r' to each side of the equation.
-16 + 16r + -12r = 36 + 12r + -12r

Combine like terms: 16r + -12r = 4r
-16 + 4r = 36 + 12r + -12r

Combine like terms: 12r + -12r = 0
-16 + 4r = 36 + 0
-16 + 4r = 36

Add '16' to each side of the equation.
-16 + 16 + 4r = 36 + 16

Combine like terms: -16 + 16 = 0
0 + 4r = 36 + 16
4r = 36 + 16

Combine like terms: 36 + 16 = 52
4r = 52

Divide each side by '4'.
r = 13

Simplifying
r = 13

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