6r+5=8(r+2)

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Solution for 6r+5=8(r+2) equation:


Simplifying
6r + 5 = 8(r + 2)

Reorder the terms:
5 + 6r = 8(r + 2)

Reorder the terms:
5 + 6r = 8(2 + r)
5 + 6r = (2 * 8 + r * 8)
5 + 6r = (16 + 8r)

Solving
5 + 6r = 16 + 8r

Solving for variable 'r'.

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

Add '-8r' to each side of the equation.
5 + 6r + -8r = 16 + 8r + -8r

Combine like terms: 6r + -8r = -2r
5 + -2r = 16 + 8r + -8r

Combine like terms: 8r + -8r = 0
5 + -2r = 16 + 0
5 + -2r = 16

Add '-5' to each side of the equation.
5 + -5 + -2r = 16 + -5

Combine like terms: 5 + -5 = 0
0 + -2r = 16 + -5
-2r = 16 + -5

Combine like terms: 16 + -5 = 11
-2r = 11

Divide each side by '-2'.
r = -5.5

Simplifying
r = -5.5

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