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

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


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

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

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

Combine like terms: 12 + 3 = 15
15 + 2a = 3(10 + 3a)
15 + 2a = (10 * 3 + 3a * 3)
15 + 2a = (30 + 9a)

Solving
15 + 2a = 30 + 9a

Solving for variable 'a'.

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

Add '-9a' to each side of the equation.
15 + 2a + -9a = 30 + 9a + -9a

Combine like terms: 2a + -9a = -7a
15 + -7a = 30 + 9a + -9a

Combine like terms: 9a + -9a = 0
15 + -7a = 30 + 0
15 + -7a = 30

Add '-15' to each side of the equation.
15 + -15 + -7a = 30 + -15

Combine like terms: 15 + -15 = 0
0 + -7a = 30 + -15
-7a = 30 + -15

Combine like terms: 30 + -15 = 15
-7a = 15

Divide each side by '-7'.
a = -2.142857143

Simplifying
a = -2.142857143

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