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

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


Simplifying
8(-1a + -6) = -6a + 4(3 + -3a)

Reorder the terms:
8(-6 + -1a) = -6a + 4(3 + -3a)
(-6 * 8 + -1a * 8) = -6a + 4(3 + -3a)
(-48 + -8a) = -6a + 4(3 + -3a)
-48 + -8a = -6a + (3 * 4 + -3a * 4)
-48 + -8a = -6a + (12 + -12a)

Reorder the terms:
-48 + -8a = 12 + -6a + -12a

Combine like terms: -6a + -12a = -18a
-48 + -8a = 12 + -18a

Solving
-48 + -8a = 12 + -18a

Solving for variable 'a'.

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

Add '18a' to each side of the equation.
-48 + -8a + 18a = 12 + -18a + 18a

Combine like terms: -8a + 18a = 10a
-48 + 10a = 12 + -18a + 18a

Combine like terms: -18a + 18a = 0
-48 + 10a = 12 + 0
-48 + 10a = 12

Add '48' to each side of the equation.
-48 + 48 + 10a = 12 + 48

Combine like terms: -48 + 48 = 0
0 + 10a = 12 + 48
10a = 12 + 48

Combine like terms: 12 + 48 = 60
10a = 60

Divide each side by '10'.
a = 6

Simplifying
a = 6

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