[3.2+(-15.6)]-6[4.1-(-5.3)]=a

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Solution for [3.2+(-15.6)]-6[4.1-(-5.3)]=a equation:


Simplifying
[3.2 + (-15.6)] + -6[4.1 + -1(-5.3)] = a
[3.2 + -15.6] + -6[4.1 + -1(-5.3)] = a

Combine like terms: 3.2 + -15.6 = -12.4
[-12.4] + -6[4.1 + -1(-5.3)] = a
-12.4 + -6[4.1 + -1(-5.3)] = a

Multiply -1 * -5.3
-12.4 + -6[4.1 + 5.3] = a

Combine like terms: 4.1 + 5.3 = 9.4
-12.4 + -6[9.4] = a

Multiply -6 * 9.4
-12.4 + -56.4 = a

Combine like terms: -12.4 + -56.4 = -68.8
-68.8 = a

Solving
-68.8 = a

Solving for variable 'a'.

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

Add '-1a' to each side of the equation.
-68.8 + -1a = a + -1a

Combine like terms: a + -1a = 0
-68.8 + -1a = 0

Add '68.8' to each side of the equation.
-68.8 + 68.8 + -1a = 0 + 68.8

Combine like terms: -68.8 + 68.8 = 0.0
0.0 + -1a = 0 + 68.8
-1a = 0 + 68.8

Combine like terms: 0 + 68.8 = 68.8
-1a = 68.8

Divide each side by '-1'.
a = -68.8

Simplifying
a = -68.8

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