7(-1+r)+8r=4r+26

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Solution for 7(-1+r)+8r=4r+26 equation:


Simplifying
7(-1 + r) + 8r = 4r + 26
(-1 * 7 + r * 7) + 8r = 4r + 26
(-7 + 7r) + 8r = 4r + 26

Combine like terms: 7r + 8r = 15r
-7 + 15r = 4r + 26

Reorder the terms:
-7 + 15r = 26 + 4r

Solving
-7 + 15r = 26 + 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.
-7 + 15r + -4r = 26 + 4r + -4r

Combine like terms: 15r + -4r = 11r
-7 + 11r = 26 + 4r + -4r

Combine like terms: 4r + -4r = 0
-7 + 11r = 26 + 0
-7 + 11r = 26

Add '7' to each side of the equation.
-7 + 7 + 11r = 26 + 7

Combine like terms: -7 + 7 = 0
0 + 11r = 26 + 7
11r = 26 + 7

Combine like terms: 26 + 7 = 33
11r = 33

Divide each side by '11'.
r = 3

Simplifying
r = 3

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