2k+16=-7(8k+6)

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Solution for 2k+16=-7(8k+6) equation:


Simplifying
2k + 16 = -7(8k + 6)

Reorder the terms:
16 + 2k = -7(8k + 6)

Reorder the terms:
16 + 2k = -7(6 + 8k)
16 + 2k = (6 * -7 + 8k * -7)
16 + 2k = (-42 + -56k)

Solving
16 + 2k = -42 + -56k

Solving for variable 'k'.

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

Add '56k' to each side of the equation.
16 + 2k + 56k = -42 + -56k + 56k

Combine like terms: 2k + 56k = 58k
16 + 58k = -42 + -56k + 56k

Combine like terms: -56k + 56k = 0
16 + 58k = -42 + 0
16 + 58k = -42

Add '-16' to each side of the equation.
16 + -16 + 58k = -42 + -16

Combine like terms: 16 + -16 = 0
0 + 58k = -42 + -16
58k = -42 + -16

Combine like terms: -42 + -16 = -58
58k = -58

Divide each side by '58'.
k = -1

Simplifying
k = -1

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