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

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


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

Reorder the terms:
7(-3 + 2a) = 3(2 + a)
(-3 * 7 + 2a * 7) = 3(2 + a)
(-21 + 14a) = 3(2 + a)
-21 + 14a = (2 * 3 + a * 3)
-21 + 14a = (6 + 3a)

Solving
-21 + 14a = 6 + 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.
-21 + 14a + -3a = 6 + 3a + -3a

Combine like terms: 14a + -3a = 11a
-21 + 11a = 6 + 3a + -3a

Combine like terms: 3a + -3a = 0
-21 + 11a = 6 + 0
-21 + 11a = 6

Add '21' to each side of the equation.
-21 + 21 + 11a = 6 + 21

Combine like terms: -21 + 21 = 0
0 + 11a = 6 + 21
11a = 6 + 21

Combine like terms: 6 + 21 = 27
11a = 27

Divide each side by '11'.
a = 2.454545455

Simplifying
a = 2.454545455

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