-2(9+2a)-8(4-5a)=-122

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Solution for -2(9+2a)-8(4-5a)=-122 equation: 


Simplifying
-2(9 + 2a) + -8(4 + -5a) = -122
(9 * -2 + 2a * -2) + -8(4 + -5a) = -122
(-18 + -4a) + -8(4 + -5a) = -122
-18 + -4a + (4 * -8 + -5a * -8) = -122
-18 + -4a + (-32 + 40a) = -122

Reorder the terms:
-18 + -32 + -4a + 40a = -122

Combine like terms: -18 + -32 = -50
-50 + -4a + 40a = -122

Combine like terms: -4a + 40a = 36a
-50 + 36a = -122

Solving
-50 + 36a = -122

Solving for variable 'a'.

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

Add '50' to each side of the equation.
-50 + 50 + 36a = -122 + 50

Combine like terms: -50 + 50 = 0
0 + 36a = -122 + 50
36a = -122 + 50

Combine like terms: -122 + 50 = -72
36a = -72

Divide each side by '36'.
a = -2

Simplifying
a = -2

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