6(a+2)+3=(10-3a)

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Solution for 6(a+2)+3=(10-3a) equation: 


Simplifying
6(a + 2) + 3 = (10 + -3a)

Reorder the terms:
6(2 + a) + 3 = (10 + -3a)
(2 * 6 + a * 6) + 3 = (10 + -3a)
(12 + 6a) + 3 = (10 + -3a)

Reorder the terms:
12 + 3 + 6a = (10 + -3a)

Combine like terms: 12 + 3 = 15
15 + 6a = (10 + -3a)

Remove parenthesis around (10 + -3a)
15 + 6a = 10 + -3a

Solving
15 + 6a = 10 + -3a

Solving for variable 'a'.

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

Add '3a' to each side of the equation.
15 + 6a + 3a = 10 + -3a + 3a

Combine like terms: 6a + 3a = 9a
15 + 9a = 10 + -3a + 3a

Combine like terms: -3a + 3a = 0
15 + 9a = 10 + 0
15 + 9a = 10

Add '-15' to each side of the equation.
15 + -15 + 9a = 10 + -15

Combine like terms: 15 + -15 = 0
0 + 9a = 10 + -15
9a = 10 + -15

Combine like terms: 10 + -15 = -5
9a = -5

Divide each side by '9'.
a = -0.5555555556

Simplifying
a = -0.5555555556

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