3(4a-6)-8a=6a+4(-8a+7)

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Solution for 3(4a-6)-8a=6a+4(-8a+7) equation:


Simplifying
3(4a + -6) + -8a = 6a + 4(-8a + 7)

Reorder the terms:
3(-6 + 4a) + -8a = 6a + 4(-8a + 7)
(-6 * 3 + 4a * 3) + -8a = 6a + 4(-8a + 7)
(-18 + 12a) + -8a = 6a + 4(-8a + 7)

Combine like terms: 12a + -8a = 4a
-18 + 4a = 6a + 4(-8a + 7)

Reorder the terms:
-18 + 4a = 6a + 4(7 + -8a)
-18 + 4a = 6a + (7 * 4 + -8a * 4)
-18 + 4a = 6a + (28 + -32a)

Reorder the terms:
-18 + 4a = 28 + 6a + -32a

Combine like terms: 6a + -32a = -26a
-18 + 4a = 28 + -26a

Solving
-18 + 4a = 28 + -26a

Solving for variable 'a'.

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

Add '26a' to each side of the equation.
-18 + 4a + 26a = 28 + -26a + 26a

Combine like terms: 4a + 26a = 30a
-18 + 30a = 28 + -26a + 26a

Combine like terms: -26a + 26a = 0
-18 + 30a = 28 + 0
-18 + 30a = 28

Add '18' to each side of the equation.
-18 + 18 + 30a = 28 + 18

Combine like terms: -18 + 18 = 0
0 + 30a = 28 + 18
30a = 28 + 18

Combine like terms: 28 + 18 = 46
30a = 46

Divide each side by '30'.
a = 1.533333333

Simplifying
a = 1.533333333

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