5+(r+3)=2r+6

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Solution for 5+(r+3)=2r+6 equation:


Simplifying
5 + (r + 3) = 2r + 6

Reorder the terms:
5 + (3 + r) = 2r + 6

Remove parenthesis around (3 + r)
5 + 3 + r = 2r + 6

Combine like terms: 5 + 3 = 8
8 + r = 2r + 6

Reorder the terms:
8 + r = 6 + 2r

Solving
8 + r = 6 + 2r

Solving for variable 'r'.

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

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

Combine like terms: r + -2r = -1r
8 + -1r = 6 + 2r + -2r

Combine like terms: 2r + -2r = 0
8 + -1r = 6 + 0
8 + -1r = 6

Add '-8' to each side of the equation.
8 + -8 + -1r = 6 + -8

Combine like terms: 8 + -8 = 0
0 + -1r = 6 + -8
-1r = 6 + -8

Combine like terms: 6 + -8 = -2
-1r = -2

Divide each side by '-1'.
r = 2

Simplifying
r = 2

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