4(a+2)=14-2(3-4a)

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


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

Reorder the terms:
4(2 + a) = 14 + -2(3 + -4a)
(2 * 4 + a * 4) = 14 + -2(3 + -4a)
(8 + 4a) = 14 + -2(3 + -4a)
8 + 4a = 14 + (3 * -2 + -4a * -2)
8 + 4a = 14 + (-6 + 8a)

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

Add '-8' to each side of the equation.
8 + -8 + 4a = 8 + -8 + 8a

Combine like terms: 8 + -8 = 0
0 + 4a = 8 + -8 + 8a
4a = 8 + -8 + 8a

Combine like terms: 8 + -8 = 0
4a = 0 + 8a
4a = 8a

Solving
4a = 8a

Solving for variable 'a'.

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

Add '-8a' to each side of the equation.
4a + -8a = 8a + -8a

Combine like terms: 4a + -8a = -4a
-4a = 8a + -8a

Combine like terms: 8a + -8a = 0
-4a = 0

Divide each side by '-4'.
a = 0

Simplifying
a = 0

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