2a+5(a-1)=6

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Solution for 2a+5(a-1)=6 equation:


Simplifying
2a + 5(a + -1) = 6

Reorder the terms:
2a + 5(-1 + a) = 6
2a + (-1 * 5 + a * 5) = 6
2a + (-5 + 5a) = 6

Reorder the terms:
-5 + 2a + 5a = 6

Combine like terms: 2a + 5a = 7a
-5 + 7a = 6

Solving
-5 + 7a = 6

Solving for variable 'a'.

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

Add '5' to each side of the equation.
-5 + 5 + 7a = 6 + 5

Combine like terms: -5 + 5 = 0
0 + 7a = 6 + 5
7a = 6 + 5

Combine like terms: 6 + 5 = 11
7a = 11

Divide each side by '7'.
a = 1.571428571

Simplifying
a = 1.571428571

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