15a-2(4a+5)=-6a

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Solution for 15a-2(4a+5)=-6a equation:


Simplifying
15a + -2(4a + 5) = -6a

Reorder the terms:
15a + -2(5 + 4a) = -6a
15a + (5 * -2 + 4a * -2) = -6a
15a + (-10 + -8a) = -6a

Reorder the terms:
-10 + 15a + -8a = -6a

Combine like terms: 15a + -8a = 7a
-10 + 7a = -6a

Solving
-10 + 7a = -6a

Solving for variable 'a'.

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

Add '6a' to each side of the equation.
-10 + 7a + 6a = -6a + 6a

Combine like terms: 7a + 6a = 13a
-10 + 13a = -6a + 6a

Combine like terms: -6a + 6a = 0
-10 + 13a = 0

Add '10' to each side of the equation.
-10 + 10 + 13a = 0 + 10

Combine like terms: -10 + 10 = 0
0 + 13a = 0 + 10
13a = 0 + 10

Combine like terms: 0 + 10 = 10
13a = 10

Divide each side by '13'.
a = 0.7692307692

Simplifying
a = 0.7692307692

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