8(3a+6)=2a-4

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Solution for 8(3a+6)=2a-4 equation:


Simplifying
8(3a + 6) = 2a + -4

Reorder the terms:
8(6 + 3a) = 2a + -4
(6 * 8 + 3a * 8) = 2a + -4
(48 + 24a) = 2a + -4

Reorder the terms:
48 + 24a = -4 + 2a

Solving
48 + 24a = -4 + 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.
48 + 24a + -2a = -4 + 2a + -2a

Combine like terms: 24a + -2a = 22a
48 + 22a = -4 + 2a + -2a

Combine like terms: 2a + -2a = 0
48 + 22a = -4 + 0
48 + 22a = -4

Add '-48' to each side of the equation.
48 + -48 + 22a = -4 + -48

Combine like terms: 48 + -48 = 0
0 + 22a = -4 + -48
22a = -4 + -48

Combine like terms: -4 + -48 = -52
22a = -52

Divide each side by '22'.
a = -2.363636364

Simplifying
a = -2.363636364

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