6r-3=2(r+3)

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


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

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

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

Solving
-3 + 6r = 6 + 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.
-3 + 6r + -2r = 6 + 2r + -2r

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

Combine like terms: 2r + -2r = 0
-3 + 4r = 6 + 0
-3 + 4r = 6

Add '3' to each side of the equation.
-3 + 3 + 4r = 6 + 3

Combine like terms: -3 + 3 = 0
0 + 4r = 6 + 3
4r = 6 + 3

Combine like terms: 6 + 3 = 9
4r = 9

Divide each side by '4'.
r = 2.25

Simplifying
r = 2.25

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