8+11r-7=6r+55-4r

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Solution for 8+11r-7=6r+55-4r equation:


Simplifying
8 + 11r + -7 = 6r + 55 + -4r

Reorder the terms:
8 + -7 + 11r = 6r + 55 + -4r

Combine like terms: 8 + -7 = 1
1 + 11r = 6r + 55 + -4r

Reorder the terms:
1 + 11r = 55 + 6r + -4r

Combine like terms: 6r + -4r = 2r
1 + 11r = 55 + 2r

Solving
1 + 11r = 55 + 2r

Solving for variable 'r'.

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

Add '-2r' to each side of the equation.
1 + 11r + -2r = 55 + 2r + -2r

Combine like terms: 11r + -2r = 9r
1 + 9r = 55 + 2r + -2r

Combine like terms: 2r + -2r = 0
1 + 9r = 55 + 0
1 + 9r = 55

Add '-1' to each side of the equation.
1 + -1 + 9r = 55 + -1

Combine like terms: 1 + -1 = 0
0 + 9r = 55 + -1
9r = 55 + -1

Combine like terms: 55 + -1 = 54
9r = 54

Divide each side by '9'.
r = 6

Simplifying
r = 6

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