8(5a+4)+4(2a-8)=-7a+6a

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Solution for 8(5a+4)+4(2a-8)=-7a+6a equation:


Simplifying
8(5a + 4) + 4(2a + -8) = -7a + 6a

Reorder the terms:
8(4 + 5a) + 4(2a + -8) = -7a + 6a
(4 * 8 + 5a * 8) + 4(2a + -8) = -7a + 6a
(32 + 40a) + 4(2a + -8) = -7a + 6a

Reorder the terms:
32 + 40a + 4(-8 + 2a) = -7a + 6a
32 + 40a + (-8 * 4 + 2a * 4) = -7a + 6a
32 + 40a + (-32 + 8a) = -7a + 6a

Reorder the terms:
32 + -32 + 40a + 8a = -7a + 6a

Combine like terms: 32 + -32 = 0
0 + 40a + 8a = -7a + 6a
40a + 8a = -7a + 6a

Combine like terms: 40a + 8a = 48a
48a = -7a + 6a

Combine like terms: -7a + 6a = -1a
48a = -1a

Solving
48a = -1a

Solving for variable 'a'.

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

Add 'a' to each side of the equation.
48a + a = -1a + a

Combine like terms: 48a + a = 49a
49a = -1a + a

Combine like terms: -1a + a = 0
49a = 0

Divide each side by '49'.
a = 0

Simplifying
a = 0

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