2(4+3r)=3(r+1)+11

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Solution for 2(4+3r)=3(r+1)+11 equation: 


Simplifying
2(4 + 3r) = 3(r + 1) + 11
(4 * 2 + 3r * 2) = 3(r + 1) + 11
(8 + 6r) = 3(r + 1) + 11

Reorder the terms:
8 + 6r = 3(1 + r) + 11
8 + 6r = (1 * 3 + r * 3) + 11
8 + 6r = (3 + 3r) + 11

Reorder the terms:
8 + 6r = 3 + 11 + 3r

Combine like terms: 3 + 11 = 14
8 + 6r = 14 + 3r

Solving
8 + 6r = 14 + 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.
8 + 6r + -3r = 14 + 3r + -3r

Combine like terms: 6r + -3r = 3r
8 + 3r = 14 + 3r + -3r

Combine like terms: 3r + -3r = 0
8 + 3r = 14 + 0
8 + 3r = 14

Add '-8' to each side of the equation.
8 + -8 + 3r = 14 + -8

Combine like terms: 8 + -8 = 0
0 + 3r = 14 + -8
3r = 14 + -8

Combine like terms: 14 + -8 = 6
3r = 6

Divide each side by '3'.
r = 2

Simplifying
r = 2

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