(4r-2)-(3r+1)=8

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Solution for (4r-2)-(3r+1)=8 equation:


Simplifying
(4r + -2) + -1(3r + 1) = 8

Reorder the terms:
(-2 + 4r) + -1(3r + 1) = 8

Remove parenthesis around (-2 + 4r)
-2 + 4r + -1(3r + 1) = 8

Reorder the terms:
-2 + 4r + -1(1 + 3r) = 8
-2 + 4r + (1 * -1 + 3r * -1) = 8
-2 + 4r + (-1 + -3r) = 8

Reorder the terms:
-2 + -1 + 4r + -3r = 8

Combine like terms: -2 + -1 = -3
-3 + 4r + -3r = 8

Combine like terms: 4r + -3r = 1r
-3 + 1r = 8

Solving
-3 + 1r = 8

Solving for variable 'r'.

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

Add '3' to each side of the equation.
-3 + 3 + 1r = 8 + 3

Combine like terms: -3 + 3 = 0
0 + 1r = 8 + 3
1r = 8 + 3

Combine like terms: 8 + 3 = 11
1r = 11

Divide each side by '1'.
r = 11

Simplifying
r = 11

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