5a+3(a-1)=2

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Solution for 5a+3(a-1)=2 equation:


Simplifying
5a + 3(a + -1) = 2

Reorder the terms:
5a + 3(-1 + a) = 2
5a + (-1 * 3 + a * 3) = 2
5a + (-3 + 3a) = 2

Reorder the terms:
-3 + 5a + 3a = 2

Combine like terms: 5a + 3a = 8a
-3 + 8a = 2

Solving
-3 + 8a = 2

Solving for variable 'a'.

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

Add '3' to each side of the equation.
-3 + 3 + 8a = 2 + 3

Combine like terms: -3 + 3 = 0
0 + 8a = 2 + 3
8a = 2 + 3

Combine like terms: 2 + 3 = 5
8a = 5

Divide each side by '8'.
a = 0.625

Simplifying
a = 0.625

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