-9(5a+6)=2(3a+8)

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Solution for -9(5a+6)=2(3a+8) equation:


Simplifying
-9(5a + 6) = 2(3a + 8)

Reorder the terms:
-9(6 + 5a) = 2(3a + 8)
(6 * -9 + 5a * -9) = 2(3a + 8)
(-54 + -45a) = 2(3a + 8)

Reorder the terms:
-54 + -45a = 2(8 + 3a)
-54 + -45a = (8 * 2 + 3a * 2)
-54 + -45a = (16 + 6a)

Solving
-54 + -45a = 16 + 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.
-54 + -45a + -6a = 16 + 6a + -6a

Combine like terms: -45a + -6a = -51a
-54 + -51a = 16 + 6a + -6a

Combine like terms: 6a + -6a = 0
-54 + -51a = 16 + 0
-54 + -51a = 16

Add '54' to each side of the equation.
-54 + 54 + -51a = 16 + 54

Combine like terms: -54 + 54 = 0
0 + -51a = 16 + 54
-51a = 16 + 54

Combine like terms: 16 + 54 = 70
-51a = 70

Divide each side by '-51'.
a = -1.37254902

Simplifying
a = -1.37254902

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