a+(a-10)+(a-15)=46

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Solution for a+(a-10)+(a-15)=46 equation:


Simplifying
a + (a + -10) + (a + -15) = 46

Reorder the terms:
a + (-10 + a) + (a + -15) = 46

Remove parenthesis around (-10 + a)
a + -10 + a + (a + -15) = 46

Reorder the terms:
a + -10 + a + (-15 + a) = 46

Remove parenthesis around (-15 + a)
a + -10 + a + -15 + a = 46

Reorder the terms:
-10 + -15 + a + a + a = 46

Combine like terms: -10 + -15 = -25
-25 + a + a + a = 46

Combine like terms: a + a = 2a
-25 + 2a + a = 46

Combine like terms: 2a + a = 3a
-25 + 3a = 46

Solving
-25 + 3a = 46

Solving for variable 'a'.

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

Add '25' to each side of the equation.
-25 + 25 + 3a = 46 + 25

Combine like terms: -25 + 25 = 0
0 + 3a = 46 + 25
3a = 46 + 25

Combine like terms: 46 + 25 = 71
3a = 71

Divide each side by '3'.
a = 23.66666667

Simplifying
a = 23.66666667

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