12a+(6a+8)+(10a-4)+(6a+8)=250

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Solution for 12a+(6a+8)+(10a-4)+(6a+8)=250 equation:


Simplifying
12a + (6a + 8) + (10a + -4) + (6a + 8) = 250

Reorder the terms:
12a + (8 + 6a) + (10a + -4) + (6a + 8) = 250

Remove parenthesis around (8 + 6a)
12a + 8 + 6a + (10a + -4) + (6a + 8) = 250

Reorder the terms:
12a + 8 + 6a + (-4 + 10a) + (6a + 8) = 250

Remove parenthesis around (-4 + 10a)
12a + 8 + 6a + -4 + 10a + (6a + 8) = 250

Reorder the terms:
12a + 8 + 6a + -4 + 10a + (8 + 6a) = 250

Remove parenthesis around (8 + 6a)
12a + 8 + 6a + -4 + 10a + 8 + 6a = 250

Reorder the terms:
8 + -4 + 8 + 12a + 6a + 10a + 6a = 250

Combine like terms: 8 + -4 = 4
4 + 8 + 12a + 6a + 10a + 6a = 250

Combine like terms: 4 + 8 = 12
12 + 12a + 6a + 10a + 6a = 250

Combine like terms: 12a + 6a = 18a
12 + 18a + 10a + 6a = 250

Combine like terms: 18a + 10a = 28a
12 + 28a + 6a = 250

Combine like terms: 28a + 6a = 34a
12 + 34a = 250

Solving
12 + 34a = 250

Solving for variable 'a'.

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

Add '-12' to each side of the equation.
12 + -12 + 34a = 250 + -12

Combine like terms: 12 + -12 = 0
0 + 34a = 250 + -12
34a = 250 + -12

Combine like terms: 250 + -12 = 238
34a = 238

Divide each side by '34'.
a = 7

Simplifying
a = 7

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