7(k+2)-6k=-k-4(1+4k)

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Solution for 7(k+2)-6k=-k-4(1+4k) equation:


Simplifying
7(k + 2) + -6k = -1k + -4(1 + 4k)

Reorder the terms:
7(2 + k) + -6k = -1k + -4(1 + 4k)
(2 * 7 + k * 7) + -6k = -1k + -4(1 + 4k)
(14 + 7k) + -6k = -1k + -4(1 + 4k)

Combine like terms: 7k + -6k = 1k
14 + 1k = -1k + -4(1 + 4k)
14 + 1k = -1k + (1 * -4 + 4k * -4)
14 + 1k = -1k + (-4 + -16k)

Reorder the terms:
14 + 1k = -4 + -1k + -16k

Combine like terms: -1k + -16k = -17k
14 + 1k = -4 + -17k

Solving
14 + 1k = -4 + -17k

Solving for variable 'k'.

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

Add '17k' to each side of the equation.
14 + 1k + 17k = -4 + -17k + 17k

Combine like terms: 1k + 17k = 18k
14 + 18k = -4 + -17k + 17k

Combine like terms: -17k + 17k = 0
14 + 18k = -4 + 0
14 + 18k = -4

Add '-14' to each side of the equation.
14 + -14 + 18k = -4 + -14

Combine like terms: 14 + -14 = 0
0 + 18k = -4 + -14
18k = -4 + -14

Combine like terms: -4 + -14 = -18
18k = -18

Divide each side by '18'.
k = -1

Simplifying
k = -1

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