6r-1=10+7r-7-8

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Solution for 6r-1=10+7r-7-8 equation:


Simplifying
6r + -1 = 10 + 7r + -7 + -8

Reorder the terms:
-1 + 6r = 10 + 7r + -7 + -8

Reorder the terms:
-1 + 6r = 10 + -7 + -8 + 7r

Combine like terms: 10 + -7 = 3
-1 + 6r = 3 + -8 + 7r

Combine like terms: 3 + -8 = -5
-1 + 6r = -5 + 7r

Solving
-1 + 6r = -5 + 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.
-1 + 6r + -7r = -5 + 7r + -7r

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

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

Add '1' to each side of the equation.
-1 + 1 + -1r = -5 + 1

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

Combine like terms: -5 + 1 = -4
-1r = -4

Divide each side by '-1'.
r = 4

Simplifying
r = 4

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