1*3r+2=1*6r+4*3

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Solution for 1*3r+2=1*6r+4*3 equation: 


Simplifying
1 * 3r + 2 = 1 * 6r + 4 * 3

Multiply 1 * 3
3r + 2 = 1 * 6r + 4 * 3

Reorder the terms:
2 + 3r = 1 * 6r + 4 * 3

Multiply 1 * 6
2 + 3r = 6r + 4 * 3

Multiply 4 * 3
2 + 3r = 6r + 12

Reorder the terms:
2 + 3r = 12 + 6r

Solving
2 + 3r = 12 + 6r

Solving for variable 'r'.

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

Add '-6r' to each side of the equation.
2 + 3r + -6r = 12 + 6r + -6r

Combine like terms: 3r + -6r = -3r
2 + -3r = 12 + 6r + -6r

Combine like terms: 6r + -6r = 0
2 + -3r = 12 + 0
2 + -3r = 12

Add '-2' to each side of the equation.
2 + -2 + -3r = 12 + -2

Combine like terms: 2 + -2 = 0
0 + -3r = 12 + -2
-3r = 12 + -2

Combine like terms: 12 + -2 = 10
-3r = 10

Divide each side by '-3'.
r = -3.333333333

Simplifying
r = -3.333333333

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