6a+7=4a-14

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Solution for 6a+7=4a-14 equation:


Simplifying
6a + 7 = 4a + -14

Reorder the terms:
7 + 6a = 4a + -14

Reorder the terms:
7 + 6a = -14 + 4a

Solving
7 + 6a = -14 + 4a

Solving for variable 'a'.

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

Add '-4a' to each side of the equation.
7 + 6a + -4a = -14 + 4a + -4a

Combine like terms: 6a + -4a = 2a
7 + 2a = -14 + 4a + -4a

Combine like terms: 4a + -4a = 0
7 + 2a = -14 + 0
7 + 2a = -14

Add '-7' to each side of the equation.
7 + -7 + 2a = -14 + -7

Combine like terms: 7 + -7 = 0
0 + 2a = -14 + -7
2a = -14 + -7

Combine like terms: -14 + -7 = -21
2a = -21

Divide each side by '2'.
a = -10.5

Simplifying
a = -10.5

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