10+3(4-6a)=-1(6a+12)

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Solution for 10+3(4-6a)=-1(6a+12) equation: 


Simplifying
10 + 3(4 + -6a) = -1(6a + 12)
10 + (4 * 3 + -6a * 3) = -1(6a + 12)
10 + (12 + -18a) = -1(6a + 12)

Combine like terms: 10 + 12 = 22
22 + -18a = -1(6a + 12)

Reorder the terms:
22 + -18a = -1(12 + 6a)
22 + -18a = (12 * -1 + 6a * -1)
22 + -18a = (-12 + -6a)

Solving
22 + -18a = -12 + -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.
22 + -18a + 6a = -12 + -6a + 6a

Combine like terms: -18a + 6a = -12a
22 + -12a = -12 + -6a + 6a

Combine like terms: -6a + 6a = 0
22 + -12a = -12 + 0
22 + -12a = -12

Add '-22' to each side of the equation.
22 + -22 + -12a = -12 + -22

Combine like terms: 22 + -22 = 0
0 + -12a = -12 + -22
-12a = -12 + -22

Combine like terms: -12 + -22 = -34
-12a = -34

Divide each side by '-12'.
a = 2.833333333

Simplifying
a = 2.833333333

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