9(5a+13)=6a+15

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Solution for 9(5a+13)=6a+15 equation:


Simplifying
9(5a + 13) = 6a + 15

Reorder the terms:
9(13 + 5a) = 6a + 15
(13 * 9 + 5a * 9) = 6a + 15
(117 + 45a) = 6a + 15

Reorder the terms:
117 + 45a = 15 + 6a

Solving
117 + 45a = 15 + 6a

Solving for variable 'a'.

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

Add '-6a' to each side of the equation.
117 + 45a + -6a = 15 + 6a + -6a

Combine like terms: 45a + -6a = 39a
117 + 39a = 15 + 6a + -6a

Combine like terms: 6a + -6a = 0
117 + 39a = 15 + 0
117 + 39a = 15

Add '-117' to each side of the equation.
117 + -117 + 39a = 15 + -117

Combine like terms: 117 + -117 = 0
0 + 39a = 15 + -117
39a = 15 + -117

Combine like terms: 15 + -117 = -102
39a = -102

Divide each side by '39'.
a = -2.615384615

Simplifying
a = -2.615384615

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