8a-9=14(a-3)

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Solution for 8a-9=14(a-3) equation:


Simplifying
8a + -9 = 14(a + -3)

Reorder the terms:
-9 + 8a = 14(a + -3)

Reorder the terms:
-9 + 8a = 14(-3 + a)
-9 + 8a = (-3 * 14 + a * 14)
-9 + 8a = (-42 + 14a)

Solving
-9 + 8a = -42 + 14a

Solving for variable 'a'.

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

Add '-14a' to each side of the equation.
-9 + 8a + -14a = -42 + 14a + -14a

Combine like terms: 8a + -14a = -6a
-9 + -6a = -42 + 14a + -14a

Combine like terms: 14a + -14a = 0
-9 + -6a = -42 + 0
-9 + -6a = -42

Add '9' to each side of the equation.
-9 + 9 + -6a = -42 + 9

Combine like terms: -9 + 9 = 0
0 + -6a = -42 + 9
-6a = -42 + 9

Combine like terms: -42 + 9 = -33
-6a = -33

Divide each side by '-6'.
a = 5.5

Simplifying
a = 5.5

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