-6-a=5(2a+3)-8a

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Solution for -6-a=5(2a+3)-8a equation:


Simplifying
-6 + -1a = 5(2a + 3) + -8a

Reorder the terms:
-6 + -1a = 5(3 + 2a) + -8a
-6 + -1a = (3 * 5 + 2a * 5) + -8a
-6 + -1a = (15 + 10a) + -8a

Combine like terms: 10a + -8a = 2a
-6 + -1a = 15 + 2a

Solving
-6 + -1a = 15 + 2a

Solving for variable 'a'.

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

Add '-2a' to each side of the equation.
-6 + -1a + -2a = 15 + 2a + -2a

Combine like terms: -1a + -2a = -3a
-6 + -3a = 15 + 2a + -2a

Combine like terms: 2a + -2a = 0
-6 + -3a = 15 + 0
-6 + -3a = 15

Add '6' to each side of the equation.
-6 + 6 + -3a = 15 + 6

Combine like terms: -6 + 6 = 0
0 + -3a = 15 + 6
-3a = 15 + 6

Combine like terms: 15 + 6 = 21
-3a = 21

Divide each side by '-3'.
a = -7

Simplifying
a = -7

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