2(8a+6)+2(9a+10)=304

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Solution for 2(8a+6)+2(9a+10)=304 equation:


Simplifying
2(8a + 6) + 2(9a + 10) = 304

Reorder the terms:
2(6 + 8a) + 2(9a + 10) = 304
(6 * 2 + 8a * 2) + 2(9a + 10) = 304
(12 + 16a) + 2(9a + 10) = 304

Reorder the terms:
12 + 16a + 2(10 + 9a) = 304
12 + 16a + (10 * 2 + 9a * 2) = 304
12 + 16a + (20 + 18a) = 304

Reorder the terms:
12 + 20 + 16a + 18a = 304

Combine like terms: 12 + 20 = 32
32 + 16a + 18a = 304

Combine like terms: 16a + 18a = 34a
32 + 34a = 304

Solving
32 + 34a = 304

Solving for variable 'a'.

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

Add '-32' to each side of the equation.
32 + -32 + 34a = 304 + -32

Combine like terms: 32 + -32 = 0
0 + 34a = 304 + -32
34a = 304 + -32

Combine like terms: 304 + -32 = 272
34a = 272

Divide each side by '34'.
a = 8

Simplifying
a = 8

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