r+2-6-3=4r+8

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Solution for r+2-6-3=4r+8 equation:


Simplifying
r + 2 + -6 + -3 = 4r + 8

Reorder the terms:
2 + -6 + -3 + r = 4r + 8

Combine like terms: 2 + -6 = -4
-4 + -3 + r = 4r + 8

Combine like terms: -4 + -3 = -7
-7 + r = 4r + 8

Reorder the terms:
-7 + r = 8 + 4r

Solving
-7 + r = 8 + 4r

Solving for variable 'r'.

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

Add '-4r' to each side of the equation.
-7 + r + -4r = 8 + 4r + -4r

Combine like terms: r + -4r = -3r
-7 + -3r = 8 + 4r + -4r

Combine like terms: 4r + -4r = 0
-7 + -3r = 8 + 0
-7 + -3r = 8

Add '7' to each side of the equation.
-7 + 7 + -3r = 8 + 7

Combine like terms: -7 + 7 = 0
0 + -3r = 8 + 7
-3r = 8 + 7

Combine like terms: 8 + 7 = 15
-3r = 15

Divide each side by '-3'.
r = -5

Simplifying
r = -5

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