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

Multiply 5 * 2
a + 5 + a + (a + 10) = 75

Reorder the terms:
a + 5 + a + (10 + a) = 75

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

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

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

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

Combine like terms: 2a + a = 3a
15 + 3a = 75

Solving
15 + 3a = 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 + 3a = 75 + -15

Combine like terms: 15 + -15 = 0
0 + 3a = 75 + -15
3a = 75 + -15

Combine like terms: 75 + -15 = 60
3a = 60

Divide each side by '3'.
a = 20

Simplifying
a = 20

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