7(15r+17)=8(12r+20)+8r

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Solution for 7(15r+17)=8(12r+20)+8r equation:


Simplifying
7(15r + 17) = 8(12r + 20) + 8r

Reorder the terms:
7(17 + 15r) = 8(12r + 20) + 8r
(17 * 7 + 15r * 7) = 8(12r + 20) + 8r
(119 + 105r) = 8(12r + 20) + 8r

Reorder the terms:
119 + 105r = 8(20 + 12r) + 8r
119 + 105r = (20 * 8 + 12r * 8) + 8r
119 + 105r = (160 + 96r) + 8r

Combine like terms: 96r + 8r = 104r
119 + 105r = 160 + 104r

Solving
119 + 105r = 160 + 104r

Solving for variable 'r'.

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

Add '-104r' to each side of the equation.
119 + 105r + -104r = 160 + 104r + -104r

Combine like terms: 105r + -104r = 1r
119 + 1r = 160 + 104r + -104r

Combine like terms: 104r + -104r = 0
119 + 1r = 160 + 0
119 + 1r = 160

Add '-119' to each side of the equation.
119 + -119 + 1r = 160 + -119

Combine like terms: 119 + -119 = 0
0 + 1r = 160 + -119
1r = 160 + -119

Combine like terms: 160 + -119 = 41
1r = 41

Divide each side by '1'.
r = 41

Simplifying
r = 41

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