40+(a*12)=440-(8*40)

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Solution for 40+(a*12)=440-(8*40) equation: 


Simplifying
40 + (a * 12) = 440 + -1(8 * 40)

Reorder the terms for easier multiplication:
40 + (12a) = 440 + -1(8 * 40)

Multiply 8 * 40
40 + (12a) = 440 + -1(320)

Multiply -1 * 320
40 + (12a) = 440 + -320

Combine like terms: 440 + -320 = 120
40 + (12a) = 120

Solving
40 + (12a) = 120

Solving for variable 'a'.

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

Add '-40' to each side of the equation.
40 + -40 + (12a) = 120 + -40

Combine like terms: 40 + -40 = 0
0 + (12a) = 120 + -40
(12a) = 120 + -40

Combine like terms: 120 + -40 = 80
(12a) = 80

Divide each side by '12'.
a = 6.666666667

Simplifying
a = 6.666666667

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