2(r+8)-r=-(-3r+1)3

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Solution for 2(r+8)-r=-(-3r+1)3 equation: 


Simplifying
2(r + 8) + -1r = -1(-3r + 1) * 3

Reorder the terms:
2(8 + r) + -1r = -1(-3r + 1) * 3
(8 * 2 + r * 2) + -1r = -1(-3r + 1) * 3
(16 + 2r) + -1r = -1(-3r + 1) * 3

Combine like terms: 2r + -1r = 1r
16 + 1r = -1(-3r + 1) * 3

Reorder the terms:
16 + 1r = -1(1 + -3r) * 3

Reorder the terms for easier multiplication:
16 + 1r = -1 * 3(1 + -3r)

Multiply -1 * 3
16 + 1r = -3(1 + -3r)
16 + 1r = (1 * -3 + -3r * -3)
16 + 1r = (-3 + 9r)

Solving
16 + 1r = -3 + 9r

Solving for variable 'r'.

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

Add '-9r' to each side of the equation.
16 + 1r + -9r = -3 + 9r + -9r

Combine like terms: 1r + -9r = -8r
16 + -8r = -3 + 9r + -9r

Combine like terms: 9r + -9r = 0
16 + -8r = -3 + 0
16 + -8r = -3

Add '-16' to each side of the equation.
16 + -16 + -8r = -3 + -16

Combine like terms: 16 + -16 = 0
0 + -8r = -3 + -16
-8r = -3 + -16

Combine like terms: -3 + -16 = -19
-8r = -19

Divide each side by '-8'.
r = 2.375

Simplifying
r = 2.375

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