a=19-4(8.5-a)

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Solution for a=19-4(8.5-a) equation:


Simplifying
a = 19 + -4(8.5 + -1a)
a = 19 + (8.5 * -4 + -1a * -4)
a = 19 + (-34 + 4a)

Combine like terms: 19 + -34 = -15
a = -15 + 4a

Solving
a = -15 + 4a

Solving for variable 'a'.

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

Add '-4a' to each side of the equation.
a + -4a = -15 + 4a + -4a

Combine like terms: a + -4a = -3a
-3a = -15 + 4a + -4a

Combine like terms: 4a + -4a = 0
-3a = -15 + 0
-3a = -15

Divide each side by '-3'.
a = 5

Simplifying
a = 5

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