5r+1=3(r+3)

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Solution for 5r+1=3(r+3) equation: 


Simplifying
5r + 1 = 3(r + 3)

Reorder the terms:
1 + 5r = 3(r + 3)

Reorder the terms:
1 + 5r = 3(3 + r)
1 + 5r = (3 * 3 + r * 3)
1 + 5r = (9 + 3r)

Solving
1 + 5r = 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.
1 + 5r + -3r = 9 + 3r + -3r

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

Combine like terms: 3r + -3r = 0
1 + 2r = 9 + 0
1 + 2r = 9

Add '-1' to each side of the equation.
1 + -1 + 2r = 9 + -1

Combine like terms: 1 + -1 = 0
0 + 2r = 9 + -1
2r = 9 + -1

Combine like terms: 9 + -1 = 8
2r = 8

Divide each side by '2'.
r = 4

Simplifying
r = 4

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