28=2(1+2k)-2(k-7)

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Solution for 28=2(1+2k)-2(k-7) equation: 


Simplifying
28 = 2(1 + 2k) + -2(k + -7)
28 = (1 * 2 + 2k * 2) + -2(k + -7)
28 = (2 + 4k) + -2(k + -7)

Reorder the terms:
28 = 2 + 4k + -2(-7 + k)
28 = 2 + 4k + (-7 * -2 + k * -2)
28 = 2 + 4k + (14 + -2k)

Reorder the terms:
28 = 2 + 14 + 4k + -2k

Combine like terms: 2 + 14 = 16
28 = 16 + 4k + -2k

Combine like terms: 4k + -2k = 2k
28 = 16 + 2k

Solving
28 = 16 + 2k

Solving for variable 'k'.

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

Add '-2k' to each side of the equation.
28 + -2k = 16 + 2k + -2k

Combine like terms: 2k + -2k = 0
28 + -2k = 16 + 0
28 + -2k = 16

Add '-28' to each side of the equation.
28 + -28 + -2k = 16 + -28

Combine like terms: 28 + -28 = 0
0 + -2k = 16 + -28
-2k = 16 + -28

Combine like terms: 16 + -28 = -12
-2k = -12

Divide each side by '-2'.
k = 6

Simplifying
k = 6

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