a+a+b+b+80+90=100

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Solution for a+a+b+b+80+90=100 equation:


Simplifying
a + a + b + b + 80 + 90 = 100

Reorder the terms:
80 + 90 + a + a + b + b = 100

Combine like terms: 80 + 90 = 170
170 + a + a + b + b = 100

Combine like terms: a + a = 2a
170 + 2a + b + b = 100

Combine like terms: b + b = 2b
170 + 2a + 2b = 100

Solving
170 + 2a + 2b = 100

Solving for variable 'a'.

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

Add '-170' to each side of the equation.
170 + 2a + -170 + 2b = 100 + -170

Reorder the terms:
170 + -170 + 2a + 2b = 100 + -170

Combine like terms: 170 + -170 = 0
0 + 2a + 2b = 100 + -170
2a + 2b = 100 + -170

Combine like terms: 100 + -170 = -70
2a + 2b = -70

Add '-2b' to each side of the equation.
2a + 2b + -2b = -70 + -2b

Combine like terms: 2b + -2b = 0
2a + 0 = -70 + -2b
2a = -70 + -2b

Divide each side by '2'.
a = -35 + -1b

Simplifying
a = -35 + -1b

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