384=12(-8+5a)

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Solution for 384=12(-8+5a) equation:


Simplifying
384 = 12(-8 + 5a)
384 = (-8 * 12 + 5a * 12)
384 = (-96 + 60a)

Solving
384 = -96 + 60a

Solving for variable 'a'.

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

Add '-60a' to each side of the equation.
384 + -60a = -96 + 60a + -60a

Combine like terms: 60a + -60a = 0
384 + -60a = -96 + 0
384 + -60a = -96

Add '-384' to each side of the equation.
384 + -384 + -60a = -96 + -384

Combine like terms: 384 + -384 = 0
0 + -60a = -96 + -384
-60a = -96 + -384

Combine like terms: -96 + -384 = -480
-60a = -480

Divide each side by '-60'.
a = 8

Simplifying
a = 8

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