10a+5(a-6)=15

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Solution for 10a+5(a-6)=15 equation:


Simplifying
10a + 5(a + -6) = 15

Reorder the terms:
10a + 5(-6 + a) = 15
10a + (-6 * 5 + a * 5) = 15
10a + (-30 + 5a) = 15

Reorder the terms:
-30 + 10a + 5a = 15

Combine like terms: 10a + 5a = 15a
-30 + 15a = 15

Solving
-30 + 15a = 15

Solving for variable 'a'.

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

Add '30' to each side of the equation.
-30 + 30 + 15a = 15 + 30

Combine like terms: -30 + 30 = 0
0 + 15a = 15 + 30
15a = 15 + 30

Combine like terms: 15 + 30 = 45
15a = 45

Divide each side by '15'.
a = 3

Simplifying
a = 3

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