(85-3b)+(2b+42)+(5a-9)+(7a+33)+(5a-9)=360

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Solution for (85-3b)+(2b+42)+(5a-9)+(7a+33)+(5a-9)=360 equation: 


Simplifying
(85 + -3b) + (2b + 42) + (5a + -9) + (7a + 33) + (5a + -9) = 360

Remove parenthesis around (85 + -3b)
85 + -3b + (2b + 42) + (5a + -9) + (7a + 33) + (5a + -9) = 360

Reorder the terms:
85 + -3b + (42 + 2b) + (5a + -9) + (7a + 33) + (5a + -9) = 360

Remove parenthesis around (42 + 2b)
85 + -3b + 42 + 2b + (5a + -9) + (7a + 33) + (5a + -9) = 360

Reorder the terms:
85 + -3b + 42 + 2b + (-9 + 5a) + (7a + 33) + (5a + -9) = 360

Remove parenthesis around (-9 + 5a)
85 + -3b + 42 + 2b + -9 + 5a + (7a + 33) + (5a + -9) = 360

Reorder the terms:
85 + -3b + 42 + 2b + -9 + 5a + (33 + 7a) + (5a + -9) = 360

Remove parenthesis around (33 + 7a)
85 + -3b + 42 + 2b + -9 + 5a + 33 + 7a + (5a + -9) = 360

Reorder the terms:
85 + -3b + 42 + 2b + -9 + 5a + 33 + 7a + (-9 + 5a) = 360

Remove parenthesis around (-9 + 5a)
85 + -3b + 42 + 2b + -9 + 5a + 33 + 7a + -9 + 5a = 360

Reorder the terms:
85 + 42 + -9 + 33 + -9 + 5a + 7a + 5a + -3b + 2b = 360

Combine like terms: 85 + 42 = 127
127 + -9 + 33 + -9 + 5a + 7a + 5a + -3b + 2b = 360

Combine like terms: 127 + -9 = 118
118 + 33 + -9 + 5a + 7a + 5a + -3b + 2b = 360

Combine like terms: 118 + 33 = 151
151 + -9 + 5a + 7a + 5a + -3b + 2b = 360

Combine like terms: 151 + -9 = 142
142 + 5a + 7a + 5a + -3b + 2b = 360

Combine like terms: 5a + 7a = 12a
142 + 12a + 5a + -3b + 2b = 360

Combine like terms: 12a + 5a = 17a
142 + 17a + -3b + 2b = 360

Combine like terms: -3b + 2b = -1b
142 + 17a + -1b = 360

Solving
142 + 17a + -1b = 360

Solving for variable 'a'.

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

Add '-142' to each side of the equation.
142 + 17a + -142 + -1b = 360 + -142

Reorder the terms:
142 + -142 + 17a + -1b = 360 + -142

Combine like terms: 142 + -142 = 0
0 + 17a + -1b = 360 + -142
17a + -1b = 360 + -142

Combine like terms: 360 + -142 = 218
17a + -1b = 218

Add 'b' to each side of the equation.
17a + -1b + b = 218 + b

Combine like terms: -1b + b = 0
17a + 0 = 218 + b
17a = 218 + b

Divide each side by '17'.
a = 12.82352941 + 0.05882352941b

Simplifying
a = 12.82352941 + 0.05882352941b

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