-4(r-6)-5=34-7r

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Solution for -4(r-6)-5=34-7r equation: 


Simplifying
-4(r + -6) + -5 = 34 + -7r

Reorder the terms:
-4(-6 + r) + -5 = 34 + -7r
(-6 * -4 + r * -4) + -5 = 34 + -7r
(24 + -4r) + -5 = 34 + -7r

Reorder the terms:
24 + -5 + -4r = 34 + -7r

Combine like terms: 24 + -5 = 19
19 + -4r = 34 + -7r

Solving
19 + -4r = 34 + -7r

Solving for variable 'r'.

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

Add '7r' to each side of the equation.
19 + -4r + 7r = 34 + -7r + 7r

Combine like terms: -4r + 7r = 3r
19 + 3r = 34 + -7r + 7r

Combine like terms: -7r + 7r = 0
19 + 3r = 34 + 0
19 + 3r = 34

Add '-19' to each side of the equation.
19 + -19 + 3r = 34 + -19

Combine like terms: 19 + -19 = 0
0 + 3r = 34 + -19
3r = 34 + -19

Combine like terms: 34 + -19 = 15
3r = 15

Divide each side by '3'.
r = 5

Simplifying
r = 5

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