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

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


Simplifying
9a + -1(3a + -8) = 2(6a + -5)

Reorder the terms:
9a + -1(-8 + 3a) = 2(6a + -5)
9a + (-8 * -1 + 3a * -1) = 2(6a + -5)
9a + (8 + -3a) = 2(6a + -5)

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

Combine like terms: 9a + -3a = 6a
8 + 6a = 2(6a + -5)

Reorder the terms:
8 + 6a = 2(-5 + 6a)
8 + 6a = (-5 * 2 + 6a * 2)
8 + 6a = (-10 + 12a)

Solving
8 + 6a = -10 + 12a

Solving for variable 'a'.

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

Add '-12a' to each side of the equation.
8 + 6a + -12a = -10 + 12a + -12a

Combine like terms: 6a + -12a = -6a
8 + -6a = -10 + 12a + -12a

Combine like terms: 12a + -12a = 0
8 + -6a = -10 + 0
8 + -6a = -10

Add '-8' to each side of the equation.
8 + -8 + -6a = -10 + -8

Combine like terms: 8 + -8 = 0
0 + -6a = -10 + -8
-6a = -10 + -8

Combine like terms: -10 + -8 = -18
-6a = -18

Divide each side by '-6'.
a = 3

Simplifying
a = 3

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