8(1+3k)=8(k+4)+8k

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Solution for 8(1+3k)=8(k+4)+8k equation: 


Simplifying
8(1 + 3k) = 8(k + 4) + 8k
(1 * 8 + 3k * 8) = 8(k + 4) + 8k
(8 + 24k) = 8(k + 4) + 8k

Reorder the terms:
8 + 24k = 8(4 + k) + 8k
8 + 24k = (4 * 8 + k * 8) + 8k
8 + 24k = (32 + 8k) + 8k

Combine like terms: 8k + 8k = 16k
8 + 24k = 32 + 16k

Solving
8 + 24k = 32 + 16k

Solving for variable 'k'.

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

Add '-16k' to each side of the equation.
8 + 24k + -16k = 32 + 16k + -16k

Combine like terms: 24k + -16k = 8k
8 + 8k = 32 + 16k + -16k

Combine like terms: 16k + -16k = 0
8 + 8k = 32 + 0
8 + 8k = 32

Add '-8' to each side of the equation.
8 + -8 + 8k = 32 + -8

Combine like terms: 8 + -8 = 0
0 + 8k = 32 + -8
8k = 32 + -8

Combine like terms: 32 + -8 = 24
8k = 24

Divide each side by '8'.
k = 3

Simplifying
k = 3

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