4(6a-7)=8(4a+2)

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Solution for 4(6a-7)=8(4a+2) equation:


Simplifying
4(6a + -7) = 8(4a + 2)

Reorder the terms:
4(-7 + 6a) = 8(4a + 2)
(-7 * 4 + 6a * 4) = 8(4a + 2)
(-28 + 24a) = 8(4a + 2)

Reorder the terms:
-28 + 24a = 8(2 + 4a)
-28 + 24a = (2 * 8 + 4a * 8)
-28 + 24a = (16 + 32a)

Solving
-28 + 24a = 16 + 32a

Solving for variable 'a'.

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

Add '-32a' to each side of the equation.
-28 + 24a + -32a = 16 + 32a + -32a

Combine like terms: 24a + -32a = -8a
-28 + -8a = 16 + 32a + -32a

Combine like terms: 32a + -32a = 0
-28 + -8a = 16 + 0
-28 + -8a = 16

Add '28' to each side of the equation.
-28 + 28 + -8a = 16 + 28

Combine like terms: -28 + 28 = 0
0 + -8a = 16 + 28
-8a = 16 + 28

Combine like terms: 16 + 28 = 44
-8a = 44

Divide each side by '-8'.
a = -5.5

Simplifying
a = -5.5

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