9a+2=3(a-4)

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Solution for 9a+2=3(a-4) equation:


Simplifying
9a + 2 = 3(a + -4)

Reorder the terms:
2 + 9a = 3(a + -4)

Reorder the terms:
2 + 9a = 3(-4 + a)
2 + 9a = (-4 * 3 + a * 3)
2 + 9a = (-12 + 3a)

Solving
2 + 9a = -12 + 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.
2 + 9a + -3a = -12 + 3a + -3a

Combine like terms: 9a + -3a = 6a
2 + 6a = -12 + 3a + -3a

Combine like terms: 3a + -3a = 0
2 + 6a = -12 + 0
2 + 6a = -12

Add '-2' to each side of the equation.
2 + -2 + 6a = -12 + -2

Combine like terms: 2 + -2 = 0
0 + 6a = -12 + -2
6a = -12 + -2

Combine like terms: -12 + -2 = -14
6a = -14

Divide each side by '6'.
a = -2.333333333

Simplifying
a = -2.333333333

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