6(r-3)-2=-4+2r

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


Simplifying
6(r + -3) + -2 = -4 + 2r

Reorder the terms:
6(-3 + r) + -2 = -4 + 2r
(-3 * 6 + r * 6) + -2 = -4 + 2r
(-18 + 6r) + -2 = -4 + 2r

Reorder the terms:
-18 + -2 + 6r = -4 + 2r

Combine like terms: -18 + -2 = -20
-20 + 6r = -4 + 2r

Solving
-20 + 6r = -4 + 2r

Solving for variable 'r'.

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

Add '-2r' to each side of the equation.
-20 + 6r + -2r = -4 + 2r + -2r

Combine like terms: 6r + -2r = 4r
-20 + 4r = -4 + 2r + -2r

Combine like terms: 2r + -2r = 0
-20 + 4r = -4 + 0
-20 + 4r = -4

Add '20' to each side of the equation.
-20 + 20 + 4r = -4 + 20

Combine like terms: -20 + 20 = 0
0 + 4r = -4 + 20
4r = -4 + 20

Combine like terms: -4 + 20 = 16
4r = 16

Divide each side by '4'.
r = 4

Simplifying
r = 4

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