3(-7r+2)+3(6r-2)=6r-5r

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Solution for 3(-7r+2)+3(6r-2)=6r-5r equation:


Simplifying
3(-7r + 2) + 3(6r + -2) = 6r + -5r

Reorder the terms:
3(2 + -7r) + 3(6r + -2) = 6r + -5r
(2 * 3 + -7r * 3) + 3(6r + -2) = 6r + -5r
(6 + -21r) + 3(6r + -2) = 6r + -5r

Reorder the terms:
6 + -21r + 3(-2 + 6r) = 6r + -5r
6 + -21r + (-2 * 3 + 6r * 3) = 6r + -5r
6 + -21r + (-6 + 18r) = 6r + -5r

Reorder the terms:
6 + -6 + -21r + 18r = 6r + -5r

Combine like terms: 6 + -6 = 0
0 + -21r + 18r = 6r + -5r
-21r + 18r = 6r + -5r

Combine like terms: -21r + 18r = -3r
-3r = 6r + -5r

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

Solving
-3r = 1r

Solving for variable 'r'.

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

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

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

Combine like terms: 1r + -1r = 0
-4r = 0

Divide each side by '-4'.
r = 0

Simplifying
r = 0

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