8a-3(5+2a)=85-3a

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Solution for 8a-3(5+2a)=85-3a equation:


Simplifying
8a + -3(5 + 2a) = 85 + -3a
8a + (5 * -3 + 2a * -3) = 85 + -3a
8a + (-15 + -6a) = 85 + -3a

Reorder the terms:
-15 + 8a + -6a = 85 + -3a

Combine like terms: 8a + -6a = 2a
-15 + 2a = 85 + -3a

Solving
-15 + 2a = 85 + -3a

Solving for variable 'a'.

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

Add '3a' to each side of the equation.
-15 + 2a + 3a = 85 + -3a + 3a

Combine like terms: 2a + 3a = 5a
-15 + 5a = 85 + -3a + 3a

Combine like terms: -3a + 3a = 0
-15 + 5a = 85 + 0
-15 + 5a = 85

Add '15' to each side of the equation.
-15 + 15 + 5a = 85 + 15

Combine like terms: -15 + 15 = 0
0 + 5a = 85 + 15
5a = 85 + 15

Combine like terms: 85 + 15 = 100
5a = 100

Divide each side by '5'.
a = 20

Simplifying
a = 20

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