2*4+6=a*4-30

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Solution for 2*4+6=a*4-30 equation:


Simplifying
2 * 4 + 6 = a * 4 + -30

Multiply 2 * 4
8 + 6 = a * 4 + -30

Combine like terms: 8 + 6 = 14
14 = a * 4 + -30

Reorder the terms for easier multiplication:
14 = 4a + -30

Reorder the terms:
14 = -30 + 4a

Solving
14 = -30 + 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.
14 + -4a = -30 + 4a + -4a

Combine like terms: 4a + -4a = 0
14 + -4a = -30 + 0
14 + -4a = -30

Add '-14' to each side of the equation.
14 + -14 + -4a = -30 + -14

Combine like terms: 14 + -14 = 0
0 + -4a = -30 + -14
-4a = -30 + -14

Combine like terms: -30 + -14 = -44
-4a = -44

Divide each side by '-4'.
a = 11

Simplifying
a = 11

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