r-6-2-1=7r+3-6

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Solution for r-6-2-1=7r+3-6 equation:


Simplifying
r + -6 + -2 + -1 = 7r + 3 + -6

Reorder the terms:
-6 + -2 + -1 + r = 7r + 3 + -6

Combine like terms: -6 + -2 = -8
-8 + -1 + r = 7r + 3 + -6

Combine like terms: -8 + -1 = -9
-9 + r = 7r + 3 + -6

Reorder the terms:
-9 + r = 3 + -6 + 7r

Combine like terms: 3 + -6 = -3
-9 + r = -3 + 7r

Solving
-9 + r = -3 + 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.
-9 + r + -7r = -3 + 7r + -7r

Combine like terms: r + -7r = -6r
-9 + -6r = -3 + 7r + -7r

Combine like terms: 7r + -7r = 0
-9 + -6r = -3 + 0
-9 + -6r = -3

Add '9' to each side of the equation.
-9 + 9 + -6r = -3 + 9

Combine like terms: -9 + 9 = 0
0 + -6r = -3 + 9
-6r = -3 + 9

Combine like terms: -3 + 9 = 6
-6r = 6

Divide each side by '-6'.
r = -1

Simplifying
r = -1

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