-(k+2)-5(-2k-7)=6

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Solution for -(k+2)-5(-2k-7)=6 equation: 


Simplifying
-1(k + 2) + -5(-2k + -7) = 6

Reorder the terms:
-1(2 + k) + -5(-2k + -7) = 6
(2 * -1 + k * -1) + -5(-2k + -7) = 6
(-2 + -1k) + -5(-2k + -7) = 6

Reorder the terms:
-2 + -1k + -5(-7 + -2k) = 6
-2 + -1k + (-7 * -5 + -2k * -5) = 6
-2 + -1k + (35 + 10k) = 6

Reorder the terms:
-2 + 35 + -1k + 10k = 6

Combine like terms: -2 + 35 = 33
33 + -1k + 10k = 6

Combine like terms: -1k + 10k = 9k
33 + 9k = 6

Solving
33 + 9k = 6

Solving for variable 'k'.

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

Add '-33' to each side of the equation.
33 + -33 + 9k = 6 + -33

Combine like terms: 33 + -33 = 0
0 + 9k = 6 + -33
9k = 6 + -33

Combine like terms: 6 + -33 = -27
9k = -27

Divide each side by '9'.
k = -3

Simplifying
k = -3

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