-4(a+5)+7a=-22+a

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Solution for -4(a+5)+7a=-22+a equation: 


Simplifying
-4(a + 5) + 7a = -22 + a

Reorder the terms:
-4(5 + a) + 7a = -22 + a
(5 * -4 + a * -4) + 7a = -22 + a
(-20 + -4a) + 7a = -22 + a

Combine like terms: -4a + 7a = 3a
-20 + 3a = -22 + a

Solving
-20 + 3a = -22 + a

Solving for variable 'a'.

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

Add '-1a' to each side of the equation.
-20 + 3a + -1a = -22 + a + -1a

Combine like terms: 3a + -1a = 2a
-20 + 2a = -22 + a + -1a

Combine like terms: a + -1a = 0
-20 + 2a = -22 + 0
-20 + 2a = -22

Add '20' to each side of the equation.
-20 + 20 + 2a = -22 + 20

Combine like terms: -20 + 20 = 0
0 + 2a = -22 + 20
2a = -22 + 20

Combine like terms: -22 + 20 = -2
2a = -2

Divide each side by '2'.
a = -1

Simplifying
a = -1

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