-32=5(8a+3)

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Solution for -32=5(8a+3) equation:


Simplifying
-32 = 5(8a + 3)

Reorder the terms:
-32 = 5(3 + 8a)
-32 = (3 * 5 + 8a * 5)
-32 = (15 + 40a)

Solving
-32 = 15 + 40a

Solving for variable 'a'.

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

Add '-40a' to each side of the equation.
-32 + -40a = 15 + 40a + -40a

Combine like terms: 40a + -40a = 0
-32 + -40a = 15 + 0
-32 + -40a = 15

Add '32' to each side of the equation.
-32 + 32 + -40a = 15 + 32

Combine like terms: -32 + 32 = 0
0 + -40a = 15 + 32
-40a = 15 + 32

Combine like terms: 15 + 32 = 47
-40a = 47

Divide each side by '-40'.
a = -1.175

Simplifying
a = -1.175

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