8r-5(6-7)=18-5r

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Solution for 8r-5(6-7)=18-5r equation:


Simplifying
8r + -5(6 + -7) = 18 + -5r

Combine like terms: 6 + -7 = -1
8r + -5(-1) = 18 + -5r

Multiply -5 * -1
8r + 5 = 18 + -5r

Reorder the terms:
5 + 8r = 18 + -5r

Solving
5 + 8r = 18 + -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.
5 + 8r + 5r = 18 + -5r + 5r

Combine like terms: 8r + 5r = 13r
5 + 13r = 18 + -5r + 5r

Combine like terms: -5r + 5r = 0
5 + 13r = 18 + 0
5 + 13r = 18

Add '-5' to each side of the equation.
5 + -5 + 13r = 18 + -5

Combine like terms: 5 + -5 = 0
0 + 13r = 18 + -5
13r = 18 + -5

Combine like terms: 18 + -5 = 13
13r = 13

Divide each side by '13'.
r = 1

Simplifying
r = 1

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