a-3=6(a-8)

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


Simplifying
a + -3 = 6(a + -8)

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

Reorder the terms:
-3 + a = 6(-8 + a)
-3 + a = (-8 * 6 + a * 6)
-3 + a = (-48 + 6a)

Solving
-3 + a = -48 + 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.
-3 + a + -6a = -48 + 6a + -6a

Combine like terms: a + -6a = -5a
-3 + -5a = -48 + 6a + -6a

Combine like terms: 6a + -6a = 0
-3 + -5a = -48 + 0
-3 + -5a = -48

Add '3' to each side of the equation.
-3 + 3 + -5a = -48 + 3

Combine like terms: -3 + 3 = 0
0 + -5a = -48 + 3
-5a = -48 + 3

Combine like terms: -48 + 3 = -45
-5a = -45

Divide each side by '-5'.
a = 9

Simplifying
a = 9

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