3(4a-6)=2(4a-3)-(a-8)

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Solution for 3(4a-6)=2(4a-3)-(a-8) equation:


Simplifying
3(4a + -6) = 2(4a + -3) + -1(a + -8)

Reorder the terms:
3(-6 + 4a) = 2(4a + -3) + -1(a + -8)
(-6 * 3 + 4a * 3) = 2(4a + -3) + -1(a + -8)
(-18 + 12a) = 2(4a + -3) + -1(a + -8)

Reorder the terms:
-18 + 12a = 2(-3 + 4a) + -1(a + -8)
-18 + 12a = (-3 * 2 + 4a * 2) + -1(a + -8)
-18 + 12a = (-6 + 8a) + -1(a + -8)

Reorder the terms:
-18 + 12a = -6 + 8a + -1(-8 + a)
-18 + 12a = -6 + 8a + (-8 * -1 + a * -1)
-18 + 12a = -6 + 8a + (8 + -1a)

Reorder the terms:
-18 + 12a = -6 + 8 + 8a + -1a

Combine like terms: -6 + 8 = 2
-18 + 12a = 2 + 8a + -1a

Combine like terms: 8a + -1a = 7a
-18 + 12a = 2 + 7a

Solving
-18 + 12a = 2 + 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.
-18 + 12a + -7a = 2 + 7a + -7a

Combine like terms: 12a + -7a = 5a
-18 + 5a = 2 + 7a + -7a

Combine like terms: 7a + -7a = 0
-18 + 5a = 2 + 0
-18 + 5a = 2

Add '18' to each side of the equation.
-18 + 18 + 5a = 2 + 18

Combine like terms: -18 + 18 = 0
0 + 5a = 2 + 18
5a = 2 + 18

Combine like terms: 2 + 18 = 20
5a = 20

Divide each side by '5'.
a = 4

Simplifying
a = 4

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