7(a-2)=3a-14

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Solution for 7(a-2)=3a-14 equation:


Simplifying
7(a + -2) = 3a + -14

Reorder the terms:
7(-2 + a) = 3a + -14
(-2 * 7 + a * 7) = 3a + -14
(-14 + 7a) = 3a + -14

Reorder the terms:
-14 + 7a = -14 + 3a

Add '14' to each side of the equation.
-14 + 14 + 7a = -14 + 14 + 3a

Combine like terms: -14 + 14 = 0
0 + 7a = -14 + 14 + 3a
7a = -14 + 14 + 3a

Combine like terms: -14 + 14 = 0
7a = 0 + 3a
7a = 3a

Solving
7a = 3a

Solving for variable 'a'.

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

Add '-3a' to each side of the equation.
7a + -3a = 3a + -3a

Combine like terms: 7a + -3a = 4a
4a = 3a + -3a

Combine like terms: 3a + -3a = 0
4a = 0

Divide each side by '4'.
a = 0

Simplifying
a = 0

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