-3(2a-3)+2=3(a+7)

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Solution for -3(2a-3)+2=3(a+7) equation: 


Simplifying
-3(2a + -3) + 2 = 3(a + 7)

Reorder the terms:
-3(-3 + 2a) + 2 = 3(a + 7)
(-3 * -3 + 2a * -3) + 2 = 3(a + 7)
(9 + -6a) + 2 = 3(a + 7)

Reorder the terms:
9 + 2 + -6a = 3(a + 7)

Combine like terms: 9 + 2 = 11
11 + -6a = 3(a + 7)

Reorder the terms:
11 + -6a = 3(7 + a)
11 + -6a = (7 * 3 + a * 3)
11 + -6a = (21 + 3a)

Solving
11 + -6a = 21 + 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.
11 + -6a + -3a = 21 + 3a + -3a

Combine like terms: -6a + -3a = -9a
11 + -9a = 21 + 3a + -3a

Combine like terms: 3a + -3a = 0
11 + -9a = 21 + 0
11 + -9a = 21

Add '-11' to each side of the equation.
11 + -11 + -9a = 21 + -11

Combine like terms: 11 + -11 = 0
0 + -9a = 21 + -11
-9a = 21 + -11

Combine like terms: 21 + -11 = 10
-9a = 10

Divide each side by '-9'.
a = -1.111111111

Simplifying
a = -1.111111111

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