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

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


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

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

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

Remove parenthesis around (8 + 3a)
-30 + -5a = 8 + 3a

Solving
-30 + -5a = 8 + 3a

Solving for variable 'a'.

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

Add '-3a' to each side of the equation.
-30 + -5a + -3a = 8 + 3a + -3a

Combine like terms: -5a + -3a = -8a
-30 + -8a = 8 + 3a + -3a

Combine like terms: 3a + -3a = 0
-30 + -8a = 8 + 0
-30 + -8a = 8

Add '30' to each side of the equation.
-30 + 30 + -8a = 8 + 30

Combine like terms: -30 + 30 = 0
0 + -8a = 8 + 30
-8a = 8 + 30

Combine like terms: 8 + 30 = 38
-8a = 38

Divide each side by '-8'.
a = -4.75

Simplifying
a = -4.75

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