9=8(a+4)+5(1+4a)

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Solution for 9=8(a+4)+5(1+4a) equation:


Simplifying
9 = 8(a + 4) + 5(1 + 4a)

Reorder the terms:
9 = 8(4 + a) + 5(1 + 4a)
9 = (4 * 8 + a * 8) + 5(1 + 4a)
9 = (32 + 8a) + 5(1 + 4a)
9 = 32 + 8a + (1 * 5 + 4a * 5)
9 = 32 + 8a + (5 + 20a)

Reorder the terms:
9 = 32 + 5 + 8a + 20a

Combine like terms: 32 + 5 = 37
9 = 37 + 8a + 20a

Combine like terms: 8a + 20a = 28a
9 = 37 + 28a

Solving
9 = 37 + 28a

Solving for variable 'a'.

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

Add '-28a' to each side of the equation.
9 + -28a = 37 + 28a + -28a

Combine like terms: 28a + -28a = 0
9 + -28a = 37 + 0
9 + -28a = 37

Add '-9' to each side of the equation.
9 + -9 + -28a = 37 + -9

Combine like terms: 9 + -9 = 0
0 + -28a = 37 + -9
-28a = 37 + -9

Combine like terms: 37 + -9 = 28
-28a = 28

Divide each side by '-28'.
a = -1

Simplifying
a = -1

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