(a+b)+(a+b)=30

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Solution for (a+b)+(a+b)=30 equation:


Simplifying
(a + b) + (a + b) = 30

Remove parenthesis around (a + b)
a + b + (a + b) = 30

Remove parenthesis around (a + b)
a + b + a + b = 30

Reorder the terms:
a + a + b + b = 30

Combine like terms: a + a = 2a
2a + b + b = 30

Combine like terms: b + b = 2b
2a + 2b = 30

Solving
2a + 2b = 30

Solving for variable 'a'.

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

Add '-2b' to each side of the equation.
2a + 2b + -2b = 30 + -2b

Combine like terms: 2b + -2b = 0
2a + 0 = 30 + -2b
2a = 30 + -2b

Divide each side by '2'.
a = 15 + -1b

Simplifying
a = 15 + -1b

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