9(3a+1)=-6(a+4)

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Solution for 9(3a+1)=-6(a+4) equation:


Simplifying
9(3a + 1) = -6(a + 4)

Reorder the terms:
9(1 + 3a) = -6(a + 4)
(1 * 9 + 3a * 9) = -6(a + 4)
(9 + 27a) = -6(a + 4)

Reorder the terms:
9 + 27a = -6(4 + a)
9 + 27a = (4 * -6 + a * -6)
9 + 27a = (-24 + -6a)

Solving
9 + 27a = -24 + -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.
9 + 27a + 6a = -24 + -6a + 6a

Combine like terms: 27a + 6a = 33a
9 + 33a = -24 + -6a + 6a

Combine like terms: -6a + 6a = 0
9 + 33a = -24 + 0
9 + 33a = -24

Add '-9' to each side of the equation.
9 + -9 + 33a = -24 + -9

Combine like terms: 9 + -9 = 0
0 + 33a = -24 + -9
33a = -24 + -9

Combine like terms: -24 + -9 = -33
33a = -33

Divide each side by '33'.
a = -1

Simplifying
a = -1

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