1*2*3*4-A(5*6)=-7(8A+4)

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Solution for 1*2*3*4-A(5*6)=-7(8A+4) equation: 


Simplifying
1 * 2 * 3 * 4 + -1A(5 * 6) = -7(8A + 4)

Multiply 1 * 2
2 * 3 * 4 + -1A(5 * 6) = -7(8A + 4)

Multiply 2 * 3
6 * 4 + -1A(5 * 6) = -7(8A + 4)

Multiply 6 * 4
24 + -1A(5 * 6) = -7(8A + 4)

Multiply 5 * 6
24 + -1A(30) = -7(8A + 4)

Reorder the terms for easier multiplication:
24 + -1 * 30A = -7(8A + 4)

Multiply -1 * 30
24 + -30A = -7(8A + 4)

Reorder the terms:
24 + -30A = -7(4 + 8A)
24 + -30A = (4 * -7 + 8A * -7)
24 + -30A = (-28 + -56A)

Solving
24 + -30A = -28 + -56A

Solving for variable 'A'.

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

Add '56A' to each side of the equation.
24 + -30A + 56A = -28 + -56A + 56A

Combine like terms: -30A + 56A = 26A
24 + 26A = -28 + -56A + 56A

Combine like terms: -56A + 56A = 0
24 + 26A = -28 + 0
24 + 26A = -28

Add '-24' to each side of the equation.
24 + -24 + 26A = -28 + -24

Combine like terms: 24 + -24 = 0
0 + 26A = -28 + -24
26A = -28 + -24

Combine like terms: -28 + -24 = -52
26A = -52

Divide each side by '26'.
A = -2

Simplifying
A = -2

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