a+(a+5)+((a+5)*2)=75

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Solution for a+(a+5)+((a+5)*2)=75 equation:


Simplifying
a + (a + 5) + ((a + 5) * 2) = 75

Reorder the terms:
a + (5 + a) + ((a + 5) * 2) = 75

Remove parenthesis around (5 + a)
a + 5 + a + ((a + 5) * 2) = 75

Reorder the terms:
a + 5 + a + ((5 + a) * 2) = 75

Reorder the terms for easier multiplication:
a + 5 + a + (2(5 + a)) = 75
a + 5 + a + ((5 * 2 + a * 2)) = 75
a + 5 + a + ((10 + 2a)) = 75
a + 5 + a + (10 + 2a) = 75

Remove parenthesis around (10 + 2a)
a + 5 + a + 10 + 2a = 75

Reorder the terms:
5 + 10 + a + a + 2a = 75

Combine like terms: 5 + 10 = 15
15 + a + a + 2a = 75

Combine like terms: a + a = 2a
15 + 2a + 2a = 75

Combine like terms: 2a + 2a = 4a
15 + 4a = 75

Solving
15 + 4a = 75

Solving for variable 'a'.

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

Add '-15' to each side of the equation.
15 + -15 + 4a = 75 + -15

Combine like terms: 15 + -15 = 0
0 + 4a = 75 + -15
4a = 75 + -15

Combine like terms: 75 + -15 = 60
4a = 60

Divide each side by '4'.
a = 15

Simplifying
a = 15

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