3(4r+4)-r=45

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Solution for 3(4r+4)-r=45 equation:


Simplifying
3(4r + 4) + -1r = 45

Reorder the terms:
3(4 + 4r) + -1r = 45
(4 * 3 + 4r * 3) + -1r = 45
(12 + 12r) + -1r = 45

Combine like terms: 12r + -1r = 11r
12 + 11r = 45

Solving
12 + 11r = 45

Solving for variable 'r'.

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

Add '-12' to each side of the equation.
12 + -12 + 11r = 45 + -12

Combine like terms: 12 + -12 = 0
0 + 11r = 45 + -12
11r = 45 + -12

Combine like terms: 45 + -12 = 33
11r = 33

Divide each side by '11'.
r = 3

Simplifying
r = 3

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