6r+7=5r+20

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Solution for 6r+7=5r+20 equation:


Simplifying
6r + 7 = 5r + 20

Reorder the terms:
7 + 6r = 5r + 20

Reorder the terms:
7 + 6r = 20 + 5r

Solving
7 + 6r = 20 + 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.
7 + 6r + -5r = 20 + 5r + -5r

Combine like terms: 6r + -5r = 1r
7 + 1r = 20 + 5r + -5r

Combine like terms: 5r + -5r = 0
7 + 1r = 20 + 0
7 + 1r = 20

Add '-7' to each side of the equation.
7 + -7 + 1r = 20 + -7

Combine like terms: 7 + -7 = 0
0 + 1r = 20 + -7
1r = 20 + -7

Combine like terms: 20 + -7 = 13
1r = 13

Divide each side by '1'.
r = 13

Simplifying
r = 13

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