2(4k+2)=7(4)+8(1)

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Solution for 2(4k+2)=7(4)+8(1) equation: 


Simplifying
2(4k + 2) = 7(4) + 8(1)

Reorder the terms:
2(2 + 4k) = 7(4) + 8(1)
(2 * 2 + 4k * 2) = 7(4) + 8(1)
(4 + 8k) = 7(4) + 8(1)

Multiply 7 * 4
4 + 8k = 28 + 8(1)

Multiply 8 * 1
4 + 8k = 28 + 8

Combine like terms: 28 + 8 = 36
4 + 8k = 36

Solving
4 + 8k = 36

Solving for variable 'k'.

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

Add '-4' to each side of the equation.
4 + -4 + 8k = 36 + -4

Combine like terms: 4 + -4 = 0
0 + 8k = 36 + -4
8k = 36 + -4

Combine like terms: 36 + -4 = 32
8k = 32

Divide each side by '8'.
k = 4

Simplifying
k = 4

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