5a-3(4-3a)=9-7a

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Solution for 5a-3(4-3a)=9-7a equation:


Simplifying
5a + -3(4 + -3a) = 9 + -7a
5a + (4 * -3 + -3a * -3) = 9 + -7a
5a + (-12 + 9a) = 9 + -7a

Reorder the terms:
-12 + 5a + 9a = 9 + -7a

Combine like terms: 5a + 9a = 14a
-12 + 14a = 9 + -7a

Solving
-12 + 14a = 9 + -7a

Solving for variable 'a'.

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

Add '7a' to each side of the equation.
-12 + 14a + 7a = 9 + -7a + 7a

Combine like terms: 14a + 7a = 21a
-12 + 21a = 9 + -7a + 7a

Combine like terms: -7a + 7a = 0
-12 + 21a = 9 + 0
-12 + 21a = 9

Add '12' to each side of the equation.
-12 + 12 + 21a = 9 + 12

Combine like terms: -12 + 12 = 0
0 + 21a = 9 + 12
21a = 9 + 12

Combine like terms: 9 + 12 = 21
21a = 21

Divide each side by '21'.
a = 1

Simplifying
a = 1

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