11(r-5)=5r-7

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Solution for 11(r-5)=5r-7 equation:


Simplifying
11(r + -5) = 5r + -7

Reorder the terms:
11(-5 + r) = 5r + -7
(-5 * 11 + r * 11) = 5r + -7
(-55 + 11r) = 5r + -7

Reorder the terms:
-55 + 11r = -7 + 5r

Solving
-55 + 11r = -7 + 5r

Solving for variable 'r'.

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

Add '-5r' to each side of the equation.
-55 + 11r + -5r = -7 + 5r + -5r

Combine like terms: 11r + -5r = 6r
-55 + 6r = -7 + 5r + -5r

Combine like terms: 5r + -5r = 0
-55 + 6r = -7 + 0
-55 + 6r = -7

Add '55' to each side of the equation.
-55 + 55 + 6r = -7 + 55

Combine like terms: -55 + 55 = 0
0 + 6r = -7 + 55
6r = -7 + 55

Combine like terms: -7 + 55 = 48
6r = 48

Divide each side by '6'.
r = 8

Simplifying
r = 8

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