4(2a-3)-4a=3(2a-6)

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Solution for 4(2a-3)-4a=3(2a-6) equation:


Simplifying
4(2a + -3) + -4a = 3(2a + -6)

Reorder the terms:
4(-3 + 2a) + -4a = 3(2a + -6)
(-3 * 4 + 2a * 4) + -4a = 3(2a + -6)
(-12 + 8a) + -4a = 3(2a + -6)

Combine like terms: 8a + -4a = 4a
-12 + 4a = 3(2a + -6)

Reorder the terms:
-12 + 4a = 3(-6 + 2a)
-12 + 4a = (-6 * 3 + 2a * 3)
-12 + 4a = (-18 + 6a)

Solving
-12 + 4a = -18 + 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.
-12 + 4a + -6a = -18 + 6a + -6a

Combine like terms: 4a + -6a = -2a
-12 + -2a = -18 + 6a + -6a

Combine like terms: 6a + -6a = 0
-12 + -2a = -18 + 0
-12 + -2a = -18

Add '12' to each side of the equation.
-12 + 12 + -2a = -18 + 12

Combine like terms: -12 + 12 = 0
0 + -2a = -18 + 12
-2a = -18 + 12

Combine like terms: -18 + 12 = -6
-2a = -6

Divide each side by '-2'.
a = 3

Simplifying
a = 3

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