r-3=3(3r+4)

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


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

Reorder the terms:
-3 + r = 3(3r + 4)

Reorder the terms:
-3 + r = 3(4 + 3r)
-3 + r = (4 * 3 + 3r * 3)
-3 + r = (12 + 9r)

Solving
-3 + r = 12 + 9r

Solving for variable 'r'.

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

Add '-9r' to each side of the equation.
-3 + r + -9r = 12 + 9r + -9r

Combine like terms: r + -9r = -8r
-3 + -8r = 12 + 9r + -9r

Combine like terms: 9r + -9r = 0
-3 + -8r = 12 + 0
-3 + -8r = 12

Add '3' to each side of the equation.
-3 + 3 + -8r = 12 + 3

Combine like terms: -3 + 3 = 0
0 + -8r = 12 + 3
-8r = 12 + 3

Combine like terms: 12 + 3 = 15
-8r = 15

Divide each side by '-8'.
r = -1.875

Simplifying
r = -1.875

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