27.5=-3.5+6.5(a-5.5)

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Solution for 27.5=-3.5+6.5(a-5.5) equation: 


Simplifying
27.5 = -3.5 + 6.5(a + -5.5)

Reorder the terms:
27.5 = -3.5 + 6.5(-5.5 + a)
27.5 = -3.5 + (-5.5 * 6.5 + a * 6.5)
27.5 = -3.5 + (-35.75 + 6.5a)

Combine like terms: -3.5 + -35.75 = -39.25
27.5 = -39.25 + 6.5a

Solving
27.5 = -39.25 + 6.5a

Solving for variable 'a'.

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

Add '-6.5a' to each side of the equation.
27.5 + -6.5a = -39.25 + 6.5a + -6.5a

Combine like terms: 6.5a + -6.5a = 0.0
27.5 + -6.5a = -39.25 + 0.0
27.5 + -6.5a = -39.25

Add '-27.5' to each side of the equation.
27.5 + -27.5 + -6.5a = -39.25 + -27.5

Combine like terms: 27.5 + -27.5 = 0.0
0.0 + -6.5a = -39.25 + -27.5
-6.5a = -39.25 + -27.5

Combine like terms: -39.25 + -27.5 = -66.75
-6.5a = -66.75

Divide each side by '-6.5'.
a = 10.26923077

Simplifying
a = 10.26923077

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