7(a-3)=6a-12

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Solution for 7(a-3)=6a-12 equation:


Simplifying
7(a + -3) = 6a + -12

Reorder the terms:
7(-3 + a) = 6a + -12
(-3 * 7 + a * 7) = 6a + -12
(-21 + 7a) = 6a + -12

Reorder the terms:
-21 + 7a = -12 + 6a

Solving
-21 + 7a = -12 + 6a

Solving for variable 'a'.

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

Add '-6a' to each side of the equation.
-21 + 7a + -6a = -12 + 6a + -6a

Combine like terms: 7a + -6a = 1a
-21 + 1a = -12 + 6a + -6a

Combine like terms: 6a + -6a = 0
-21 + 1a = -12 + 0
-21 + 1a = -12

Add '21' to each side of the equation.
-21 + 21 + 1a = -12 + 21

Combine like terms: -21 + 21 = 0
0 + 1a = -12 + 21
1a = -12 + 21

Combine like terms: -12 + 21 = 9
1a = 9

Divide each side by '1'.
a = 9

Simplifying
a = 9

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