4(a+3)=2(7-a)

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Solution for 4(a+3)=2(7-a) equation:


Simplifying
4(a + 3) = 2(7 + -1a)

Reorder the terms:
4(3 + a) = 2(7 + -1a)
(3 * 4 + a * 4) = 2(7 + -1a)
(12 + 4a) = 2(7 + -1a)
12 + 4a = (7 * 2 + -1a * 2)
12 + 4a = (14 + -2a)

Solving
12 + 4a = 14 + -2a

Solving for variable 'a'.

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

Add '2a' to each side of the equation.
12 + 4a + 2a = 14 + -2a + 2a

Combine like terms: 4a + 2a = 6a
12 + 6a = 14 + -2a + 2a

Combine like terms: -2a + 2a = 0
12 + 6a = 14 + 0
12 + 6a = 14

Add '-12' to each side of the equation.
12 + -12 + 6a = 14 + -12

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

Combine like terms: 14 + -12 = 2
6a = 2

Divide each side by '6'.
a = 0.3333333333

Simplifying
a = 0.3333333333

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