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

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


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

Reorder the terms:
-5(6 + a) = 2(3a + 8)
(6 * -5 + a * -5) = 2(3a + 8)
(-30 + -5a) = 2(3a + 8)

Reorder the terms:
-30 + -5a = 2(8 + 3a)
-30 + -5a = (8 * 2 + 3a * 2)
-30 + -5a = (16 + 6a)

Solving
-30 + -5a = 16 + 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.
-30 + -5a + -6a = 16 + 6a + -6a

Combine like terms: -5a + -6a = -11a
-30 + -11a = 16 + 6a + -6a

Combine like terms: 6a + -6a = 0
-30 + -11a = 16 + 0
-30 + -11a = 16

Add '30' to each side of the equation.
-30 + 30 + -11a = 16 + 30

Combine like terms: -30 + 30 = 0
0 + -11a = 16 + 30
-11a = 16 + 30

Combine like terms: 16 + 30 = 46
-11a = 46

Divide each side by '-11'.
a = -4.181818182

Simplifying
a = -4.181818182

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