6a-14=14(a-3)

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Solution for 6a-14=14(a-3) equation:


Simplifying
6a + -14 = 14(a + -3)

Reorder the terms:
-14 + 6a = 14(a + -3)

Reorder the terms:
-14 + 6a = 14(-3 + a)
-14 + 6a = (-3 * 14 + a * 14)
-14 + 6a = (-42 + 14a)

Solving
-14 + 6a = -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.
-14 + 6a + -14a = -42 + 14a + -14a

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

Combine like terms: 14a + -14a = 0
-14 + -8a = -42 + 0
-14 + -8a = -42

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

Combine like terms: -14 + 14 = 0
0 + -8a = -42 + 14
-8a = -42 + 14

Combine like terms: -42 + 14 = -28
-8a = -28

Divide each side by '-8'.
a = 3.5

Simplifying
a = 3.5

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