4(6+n)=(4*6)+(4*8)

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Solution for 4(6+n)=(4*6)+(4*8) equation:


Simplifying
4(6 + n) = (4 * 6) + (4 * 8)
(6 * 4 + n * 4) = (4 * 6) + (4 * 8)
(24 + 4n) = (4 * 6) + (4 * 8)

Multiply 4 * 6
24 + 4n = (24) + (4 * 8)
24 + 4n = 24 + (4 * 8)

Multiply 4 * 8
24 + 4n = 24 + (32)
24 + 4n = 24 + 32

Combine like terms: 24 + 32 = 56
24 + 4n = 56

Solving
24 + 4n = 56

Solving for variable 'n'.

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

Add '-24' to each side of the equation.
24 + -24 + 4n = 56 + -24

Combine like terms: 24 + -24 = 0
0 + 4n = 56 + -24
4n = 56 + -24

Combine like terms: 56 + -24 = 32
4n = 32

Divide each side by '4'.
n = 8

Simplifying
n = 8

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