(8r+30)+(-2r-16)=-22

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Solution for (8r+30)+(-2r-16)=-22 equation: 


Simplifying
(8r + 30) + (-2r + -16) = -22

Reorder the terms:
(30 + 8r) + (-2r + -16) = -22

Remove parenthesis around (30 + 8r)
30 + 8r + (-2r + -16) = -22

Reorder the terms:
30 + 8r + (-16 + -2r) = -22

Remove parenthesis around (-16 + -2r)
30 + 8r + -16 + -2r = -22

Reorder the terms:
30 + -16 + 8r + -2r = -22

Combine like terms: 30 + -16 = 14
14 + 8r + -2r = -22

Combine like terms: 8r + -2r = 6r
14 + 6r = -22

Solving
14 + 6r = -22

Solving for variable 'r'.

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

Add '-14' to each side of the equation.
14 + -14 + 6r = -22 + -14

Combine like terms: 14 + -14 = 0
0 + 6r = -22 + -14
6r = -22 + -14

Combine like terms: -22 + -14 = -36
6r = -36

Divide each side by '6'.
r = -6

Simplifying
r = -6

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