10(2a)-6(a+4)=15

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Solution for 10(2a)-6(a+4)=15 equation:


Simplifying
10(2a) + -6(a + 4) = 15

Remove parenthesis around (2a)
10 * 2a + -6(a + 4) = 15

Multiply 10 * 2
20a + -6(a + 4) = 15

Reorder the terms:
20a + -6(4 + a) = 15
20a + (4 * -6 + a * -6) = 15
20a + (-24 + -6a) = 15

Reorder the terms:
-24 + 20a + -6a = 15

Combine like terms: 20a + -6a = 14a
-24 + 14a = 15

Solving
-24 + 14a = 15

Solving for variable 'a'.

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

Add '24' to each side of the equation.
-24 + 24 + 14a = 15 + 24

Combine like terms: -24 + 24 = 0
0 + 14a = 15 + 24
14a = 15 + 24

Combine like terms: 15 + 24 = 39
14a = 39

Divide each side by '14'.
a = 2.785714286

Simplifying
a = 2.785714286

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