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

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


Simplifying
3a + 3(2a + 8) = -1(a + -4)

Reorder the terms:
3a + 3(8 + 2a) = -1(a + -4)
3a + (8 * 3 + 2a * 3) = -1(a + -4)
3a + (24 + 6a) = -1(a + -4)

Reorder the terms:
24 + 3a + 6a = -1(a + -4)

Combine like terms: 3a + 6a = 9a
24 + 9a = -1(a + -4)

Reorder the terms:
24 + 9a = -1(-4 + a)
24 + 9a = (-4 * -1 + a * -1)
24 + 9a = (4 + -1a)

Solving
24 + 9a = 4 + -1a

Solving for variable 'a'.

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

Add 'a' to each side of the equation.
24 + 9a + a = 4 + -1a + a

Combine like terms: 9a + a = 10a
24 + 10a = 4 + -1a + a

Combine like terms: -1a + a = 0
24 + 10a = 4 + 0
24 + 10a = 4

Add '-24' to each side of the equation.
24 + -24 + 10a = 4 + -24

Combine like terms: 24 + -24 = 0
0 + 10a = 4 + -24
10a = 4 + -24

Combine like terms: 4 + -24 = -20
10a = -20

Divide each side by '10'.
a = -2

Simplifying
a = -2

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