9a-6=15(a-5)

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


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

Reorder the terms:
-6 + 9a = 15(a + -5)

Reorder the terms:
-6 + 9a = 15(-5 + a)
-6 + 9a = (-5 * 15 + a * 15)
-6 + 9a = (-75 + 15a)

Solving
-6 + 9a = -75 + 15a

Solving for variable 'a'.

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

Add '-15a' to each side of the equation.
-6 + 9a + -15a = -75 + 15a + -15a

Combine like terms: 9a + -15a = -6a
-6 + -6a = -75 + 15a + -15a

Combine like terms: 15a + -15a = 0
-6 + -6a = -75 + 0
-6 + -6a = -75

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

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

Combine like terms: -75 + 6 = -69
-6a = -69

Divide each side by '-6'.
a = 11.5

Simplifying
a = 11.5

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