-6(a+4)-3(4+6a)=36

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Solution for -6(a+4)-3(4+6a)=36 equation: 


Simplifying
-6(a + 4) + -3(4 + 6a) = 36

Reorder the terms:
-6(4 + a) + -3(4 + 6a) = 36
(4 * -6 + a * -6) + -3(4 + 6a) = 36
(-24 + -6a) + -3(4 + 6a) = 36
-24 + -6a + (4 * -3 + 6a * -3) = 36
-24 + -6a + (-12 + -18a) = 36

Reorder the terms:
-24 + -12 + -6a + -18a = 36

Combine like terms: -24 + -12 = -36
-36 + -6a + -18a = 36

Combine like terms: -6a + -18a = -24a
-36 + -24a = 36

Solving
-36 + -24a = 36

Solving for variable 'a'.

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

Add '36' to each side of the equation.
-36 + 36 + -24a = 36 + 36

Combine like terms: -36 + 36 = 0
0 + -24a = 36 + 36
-24a = 36 + 36

Combine like terms: 36 + 36 = 72
-24a = 72

Divide each side by '-24'.
a = -3

Simplifying
a = -3

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