6.5(3-2a)+5=71.5

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Solution for 6.5(3-2a)+5=71.5 equation: 


Simplifying
6.5(3 + -2a) + 5 = 71.5
(3 * 6.5 + -2a * 6.5) + 5 = 71.5
(19.5 + -13a) + 5 = 71.5

Reorder the terms:
19.5 + 5 + -13a = 71.5

Combine like terms: 19.5 + 5 = 24.5
24.5 + -13a = 71.5

Solving
24.5 + -13a = 71.5

Solving for variable 'a'.

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

Add '-24.5' to each side of the equation.
24.5 + -24.5 + -13a = 71.5 + -24.5

Combine like terms: 24.5 + -24.5 = 0.0
0.0 + -13a = 71.5 + -24.5
-13a = 71.5 + -24.5

Combine like terms: 71.5 + -24.5 = 47
-13a = 47

Divide each side by '-13'.
a = -3.615384615

Simplifying
a = -3.615384615

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