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

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


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

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

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

Remove parenthesis around (12 + 6a)
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 = -24a
22 + -24a = 12 + 6a + -6a

Combine like terms: 6a + -6a = 0
22 + -24a = 12 + 0
22 + -24a = 12

Add '-22' to each side of the equation.
22 + -22 + -24a = 12 + -22

Combine like terms: 22 + -22 = 0
0 + -24a = 12 + -22
-24a = 12 + -22

Combine like terms: 12 + -22 = -10
-24a = -10

Divide each side by '-24'.
a = 0.4166666667

Simplifying
a = 0.4166666667

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