3+3r-2=8r+13-2r

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Solution for 3+3r-2=8r+13-2r equation:


Simplifying
3 + 3r + -2 = 8r + 13 + -2r

Reorder the terms:
3 + -2 + 3r = 8r + 13 + -2r

Combine like terms: 3 + -2 = 1
1 + 3r = 8r + 13 + -2r

Reorder the terms:
1 + 3r = 13 + 8r + -2r

Combine like terms: 8r + -2r = 6r
1 + 3r = 13 + 6r

Solving
1 + 3r = 13 + 6r

Solving for variable 'r'.

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

Add '-6r' to each side of the equation.
1 + 3r + -6r = 13 + 6r + -6r

Combine like terms: 3r + -6r = -3r
1 + -3r = 13 + 6r + -6r

Combine like terms: 6r + -6r = 0
1 + -3r = 13 + 0
1 + -3r = 13

Add '-1' to each side of the equation.
1 + -1 + -3r = 13 + -1

Combine like terms: 1 + -1 = 0
0 + -3r = 13 + -1
-3r = 13 + -1

Combine like terms: 13 + -1 = 12
-3r = 12

Divide each side by '-3'.
r = -4

Simplifying
r = -4

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