2(1+10a)+9a=-22+5a

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Solution for 2(1+10a)+9a=-22+5a equation:


Simplifying
2(1 + 10a) + 9a = -22 + 5a
(1 * 2 + 10a * 2) + 9a = -22 + 5a
(2 + 20a) + 9a = -22 + 5a

Combine like terms: 20a + 9a = 29a
2 + 29a = -22 + 5a

Solving
2 + 29a = -22 + 5a

Solving for variable 'a'.

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

Add '-5a' to each side of the equation.
2 + 29a + -5a = -22 + 5a + -5a

Combine like terms: 29a + -5a = 24a
2 + 24a = -22 + 5a + -5a

Combine like terms: 5a + -5a = 0
2 + 24a = -22 + 0
2 + 24a = -22

Add '-2' to each side of the equation.
2 + -2 + 24a = -22 + -2

Combine like terms: 2 + -2 = 0
0 + 24a = -22 + -2
24a = -22 + -2

Combine like terms: -22 + -2 = -24
24a = -24

Divide each side by '24'.
a = -1

Simplifying
a = -1

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