2r+6=3(3-r)

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


Simplifying
2r + 6 = 3(3 + -1r)

Reorder the terms:
6 + 2r = 3(3 + -1r)
6 + 2r = (3 * 3 + -1r * 3)
6 + 2r = (9 + -3r)

Solving
6 + 2r = 9 + -3r

Solving for variable 'r'.

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

Add '3r' to each side of the equation.
6 + 2r + 3r = 9 + -3r + 3r

Combine like terms: 2r + 3r = 5r
6 + 5r = 9 + -3r + 3r

Combine like terms: -3r + 3r = 0
6 + 5r = 9 + 0
6 + 5r = 9

Add '-6' to each side of the equation.
6 + -6 + 5r = 9 + -6

Combine like terms: 6 + -6 = 0
0 + 5r = 9 + -6
5r = 9 + -6

Combine like terms: 9 + -6 = 3
5r = 3

Divide each side by '5'.
r = 0.6

Simplifying
r = 0.6

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