(9a+11)5=15a-9-a

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Solution for (9a+11)5=15a-9-a equation:


Simplifying
(9a + 11) * 5 = 15a + -9 + -1a

Reorder the terms:
(11 + 9a) * 5 = 15a + -9 + -1a

Reorder the terms for easier multiplication:
5(11 + 9a) = 15a + -9 + -1a
(11 * 5 + 9a * 5) = 15a + -9 + -1a
(55 + 45a) = 15a + -9 + -1a

Reorder the terms:
55 + 45a = -9 + 15a + -1a

Combine like terms: 15a + -1a = 14a
55 + 45a = -9 + 14a

Solving
55 + 45a = -9 + 14a

Solving for variable 'a'.

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

Add '-14a' to each side of the equation.
55 + 45a + -14a = -9 + 14a + -14a

Combine like terms: 45a + -14a = 31a
55 + 31a = -9 + 14a + -14a

Combine like terms: 14a + -14a = 0
55 + 31a = -9 + 0
55 + 31a = -9

Add '-55' to each side of the equation.
55 + -55 + 31a = -9 + -55

Combine like terms: 55 + -55 = 0
0 + 31a = -9 + -55
31a = -9 + -55

Combine like terms: -9 + -55 = -64
31a = -64

Divide each side by '31'.
a = -2.064516129

Simplifying
a = -2.064516129

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