8(r-2)+6=2(r+1)

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Solution for 8(r-2)+6=2(r+1) equation:


Simplifying
8(r + -2) + 6 = 2(r + 1)

Reorder the terms:
8(-2 + r) + 6 = 2(r + 1)
(-2 * 8 + r * 8) + 6 = 2(r + 1)
(-16 + 8r) + 6 = 2(r + 1)

Reorder the terms:
-16 + 6 + 8r = 2(r + 1)

Combine like terms: -16 + 6 = -10
-10 + 8r = 2(r + 1)

Reorder the terms:
-10 + 8r = 2(1 + r)
-10 + 8r = (1 * 2 + r * 2)
-10 + 8r = (2 + 2r)

Solving
-10 + 8r = 2 + 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.
-10 + 8r + -2r = 2 + 2r + -2r

Combine like terms: 8r + -2r = 6r
-10 + 6r = 2 + 2r + -2r

Combine like terms: 2r + -2r = 0
-10 + 6r = 2 + 0
-10 + 6r = 2

Add '10' to each side of the equation.
-10 + 10 + 6r = 2 + 10

Combine like terms: -10 + 10 = 0
0 + 6r = 2 + 10
6r = 2 + 10

Combine like terms: 2 + 10 = 12
6r = 12

Divide each side by '6'.
r = 2

Simplifying
r = 2

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