a+6=(11+5a)15

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Solution for a+6=(11+5a)15 equation:


Simplifying
a + 6 = (11 + 5a) * 15

Reorder the terms:
6 + a = (11 + 5a) * 15

Reorder the terms for easier multiplication:
6 + a = 15(11 + 5a)
6 + a = (11 * 15 + 5a * 15)
6 + a = (165 + 75a)

Solving
6 + a = 165 + 75a

Solving for variable 'a'.

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

Add '-75a' to each side of the equation.
6 + a + -75a = 165 + 75a + -75a

Combine like terms: a + -75a = -74a
6 + -74a = 165 + 75a + -75a

Combine like terms: 75a + -75a = 0
6 + -74a = 165 + 0
6 + -74a = 165

Add '-6' to each side of the equation.
6 + -6 + -74a = 165 + -6

Combine like terms: 6 + -6 = 0
0 + -74a = 165 + -6
-74a = 165 + -6

Combine like terms: 165 + -6 = 159
-74a = 159

Divide each side by '-74'.
a = -2.148648649

Simplifying
a = -2.148648649

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