2(a-4)+5a=-22

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Solution for 2(a-4)+5a=-22 equation:


Simplifying
2(a + -4) + 5a = -22

Reorder the terms:
2(-4 + a) + 5a = -22
(-4 * 2 + a * 2) + 5a = -22
(-8 + 2a) + 5a = -22

Combine like terms: 2a + 5a = 7a
-8 + 7a = -22

Solving
-8 + 7a = -22

Solving for variable 'a'.

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

Add '8' to each side of the equation.
-8 + 8 + 7a = -22 + 8

Combine like terms: -8 + 8 = 0
0 + 7a = -22 + 8
7a = -22 + 8

Combine like terms: -22 + 8 = -14
7a = -14

Divide each side by '7'.
a = -2

Simplifying
a = -2

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