6(6a-6)=4(7a-3)

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Solution for 6(6a-6)=4(7a-3) equation:


Simplifying
6(6a + -6) = 4(7a + -3)

Reorder the terms:
6(-6 + 6a) = 4(7a + -3)
(-6 * 6 + 6a * 6) = 4(7a + -3)
(-36 + 36a) = 4(7a + -3)

Reorder the terms:
-36 + 36a = 4(-3 + 7a)
-36 + 36a = (-3 * 4 + 7a * 4)
-36 + 36a = (-12 + 28a)

Solving
-36 + 36a = -12 + 28a

Solving for variable 'a'.

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

Add '-28a' to each side of the equation.
-36 + 36a + -28a = -12 + 28a + -28a

Combine like terms: 36a + -28a = 8a
-36 + 8a = -12 + 28a + -28a

Combine like terms: 28a + -28a = 0
-36 + 8a = -12 + 0
-36 + 8a = -12

Add '36' to each side of the equation.
-36 + 36 + 8a = -12 + 36

Combine like terms: -36 + 36 = 0
0 + 8a = -12 + 36
8a = -12 + 36

Combine like terms: -12 + 36 = 24
8a = 24

Divide each side by '8'.
a = 3

Simplifying
a = 3

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