3(2a-7)+2a=-4(3a+2)+27

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Solution for 3(2a-7)+2a=-4(3a+2)+27 equation:


Simplifying
3(2a + -7) + 2a = -4(3a + 2) + 27

Reorder the terms:
3(-7 + 2a) + 2a = -4(3a + 2) + 27
(-7 * 3 + 2a * 3) + 2a = -4(3a + 2) + 27
(-21 + 6a) + 2a = -4(3a + 2) + 27

Combine like terms: 6a + 2a = 8a
-21 + 8a = -4(3a + 2) + 27

Reorder the terms:
-21 + 8a = -4(2 + 3a) + 27
-21 + 8a = (2 * -4 + 3a * -4) + 27
-21 + 8a = (-8 + -12a) + 27

Reorder the terms:
-21 + 8a = -8 + 27 + -12a

Combine like terms: -8 + 27 = 19
-21 + 8a = 19 + -12a

Solving
-21 + 8a = 19 + -12a

Solving for variable 'a'.

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

Add '12a' to each side of the equation.
-21 + 8a + 12a = 19 + -12a + 12a

Combine like terms: 8a + 12a = 20a
-21 + 20a = 19 + -12a + 12a

Combine like terms: -12a + 12a = 0
-21 + 20a = 19 + 0
-21 + 20a = 19

Add '21' to each side of the equation.
-21 + 21 + 20a = 19 + 21

Combine like terms: -21 + 21 = 0
0 + 20a = 19 + 21
20a = 19 + 21

Combine like terms: 19 + 21 = 40
20a = 40

Divide each side by '20'.
a = 2

Simplifying
a = 2

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