a+(a+30)+(a-20)=210

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Solution for a+(a+30)+(a-20)=210 equation:


Simplifying
a + (a + 30) + (a + -20) = 210

Reorder the terms:
a + (30 + a) + (a + -20) = 210

Remove parenthesis around (30 + a)
a + 30 + a + (a + -20) = 210

Reorder the terms:
a + 30 + a + (-20 + a) = 210

Remove parenthesis around (-20 + a)
a + 30 + a + -20 + a = 210

Reorder the terms:
30 + -20 + a + a + a = 210

Combine like terms: 30 + -20 = 10
10 + a + a + a = 210

Combine like terms: a + a = 2a
10 + 2a + a = 210

Combine like terms: 2a + a = 3a
10 + 3a = 210

Solving
10 + 3a = 210

Solving for variable 'a'.

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

Add '-10' to each side of the equation.
10 + -10 + 3a = 210 + -10

Combine like terms: 10 + -10 = 0
0 + 3a = 210 + -10
3a = 210 + -10

Combine like terms: 210 + -10 = 200
3a = 200

Divide each side by '3'.
a = 66.66666667

Simplifying
a = 66.66666667

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