3*(2a+4)=28a-14a+6

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Solution for 3*(2a+4)=28a-14a+6 equation:


Simplifying
3(2a + 4) = 28a + -14a + 6

Reorder the terms:
3(4 + 2a) = 28a + -14a + 6
(4 * 3 + 2a * 3) = 28a + -14a + 6
(12 + 6a) = 28a + -14a + 6

Reorder the terms:
12 + 6a = 6 + 28a + -14a

Combine like terms: 28a + -14a = 14a
12 + 6a = 6 + 14a

Solving
12 + 6a = 6 + 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.
12 + 6a + -14a = 6 + 14a + -14a

Combine like terms: 6a + -14a = -8a
12 + -8a = 6 + 14a + -14a

Combine like terms: 14a + -14a = 0
12 + -8a = 6 + 0
12 + -8a = 6

Add '-12' to each side of the equation.
12 + -12 + -8a = 6 + -12

Combine like terms: 12 + -12 = 0
0 + -8a = 6 + -12
-8a = 6 + -12

Combine like terms: 6 + -12 = -6
-8a = -6

Divide each side by '-8'.
a = 0.75

Simplifying
a = 0.75

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