10(a-8)=20(2a+1)

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Solution for 10(a-8)=20(2a+1) equation:


Simplifying
10(a + -8) = 20(2a + 1)

Reorder the terms:
10(-8 + a) = 20(2a + 1)
(-8 * 10 + a * 10) = 20(2a + 1)
(-80 + 10a) = 20(2a + 1)

Reorder the terms:
-80 + 10a = 20(1 + 2a)
-80 + 10a = (1 * 20 + 2a * 20)
-80 + 10a = (20 + 40a)

Solving
-80 + 10a = 20 + 40a

Solving for variable 'a'.

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

Add '-40a' to each side of the equation.
-80 + 10a + -40a = 20 + 40a + -40a

Combine like terms: 10a + -40a = -30a
-80 + -30a = 20 + 40a + -40a

Combine like terms: 40a + -40a = 0
-80 + -30a = 20 + 0
-80 + -30a = 20

Add '80' to each side of the equation.
-80 + 80 + -30a = 20 + 80

Combine like terms: -80 + 80 = 0
0 + -30a = 20 + 80
-30a = 20 + 80

Combine like terms: 20 + 80 = 100
-30a = 100

Divide each side by '-30'.
a = -3.333333333

Simplifying
a = -3.333333333

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