3(2+5a)-10=-22+6a

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Solution for 3(2+5a)-10=-22+6a equation: 


Simplifying
3(2 + 5a) + -10 = -22 + 6a
(2 * 3 + 5a * 3) + -10 = -22 + 6a
(6 + 15a) + -10 = -22 + 6a

Reorder the terms:
6 + -10 + 15a = -22 + 6a

Combine like terms: 6 + -10 = -4
-4 + 15a = -22 + 6a

Solving
-4 + 15a = -22 + 6a

Solving for variable 'a'.

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

Add '-6a' to each side of the equation.
-4 + 15a + -6a = -22 + 6a + -6a

Combine like terms: 15a + -6a = 9a
-4 + 9a = -22 + 6a + -6a

Combine like terms: 6a + -6a = 0
-4 + 9a = -22 + 0
-4 + 9a = -22

Add '4' to each side of the equation.
-4 + 4 + 9a = -22 + 4

Combine like terms: -4 + 4 = 0
0 + 9a = -22 + 4
9a = -22 + 4

Combine like terms: -22 + 4 = -18
9a = -18

Divide each side by '9'.
a = -2

Simplifying
a = -2

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