2r+3(r+3)+3r=1

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Solution for 2r+3(r+3)+3r=1 equation:


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

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

Reorder the terms:
9 + 2r + 3r + 3r = 1

Combine like terms: 2r + 3r = 5r
9 + 5r + 3r = 1

Combine like terms: 5r + 3r = 8r
9 + 8r = 1

Solving
9 + 8r = 1

Solving for variable 'r'.

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

Add '-9' to each side of the equation.
9 + -9 + 8r = 1 + -9

Combine like terms: 9 + -9 = 0
0 + 8r = 1 + -9
8r = 1 + -9

Combine like terms: 1 + -9 = -8
8r = -8

Divide each side by '8'.
r = -1

Simplifying
r = -1

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