14a-2=19(a-2)

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Solution for 14a-2=19(a-2) equation:


Simplifying
14a + -2 = 19(a + -2)

Reorder the terms:
-2 + 14a = 19(a + -2)

Reorder the terms:
-2 + 14a = 19(-2 + a)
-2 + 14a = (-2 * 19 + a * 19)
-2 + 14a = (-38 + 19a)

Solving
-2 + 14a = -38 + 19a

Solving for variable 'a'.

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

Add '-19a' to each side of the equation.
-2 + 14a + -19a = -38 + 19a + -19a

Combine like terms: 14a + -19a = -5a
-2 + -5a = -38 + 19a + -19a

Combine like terms: 19a + -19a = 0
-2 + -5a = -38 + 0
-2 + -5a = -38

Add '2' to each side of the equation.
-2 + 2 + -5a = -38 + 2

Combine like terms: -2 + 2 = 0
0 + -5a = -38 + 2
-5a = -38 + 2

Combine like terms: -38 + 2 = -36
-5a = -36

Divide each side by '-5'.
a = 7.2

Simplifying
a = 7.2

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