4(8+2)=14-2(3-2a)

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Solution for 4(8+2)=14-2(3-2a) equation:


Simplifying
4(8 + 2) = 14 + -2(3 + -2a)

Combine like terms: 8 + 2 = 10
4(10) = 14 + -2(3 + -2a)

Multiply 4 * 10
40 = 14 + -2(3 + -2a)
40 = 14 + (3 * -2 + -2a * -2)
40 = 14 + (-6 + 4a)

Combine like terms: 14 + -6 = 8
40 = 8 + 4a

Solving
40 = 8 + 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.
40 + -4a = 8 + 4a + -4a

Combine like terms: 4a + -4a = 0
40 + -4a = 8 + 0
40 + -4a = 8

Add '-40' to each side of the equation.
40 + -40 + -4a = 8 + -40

Combine like terms: 40 + -40 = 0
0 + -4a = 8 + -40
-4a = 8 + -40

Combine like terms: 8 + -40 = -32
-4a = -32

Divide each side by '-4'.
a = 8

Simplifying
a = 8

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