-(-2-7k)=-9(-2k+5)+14

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Solution for -(-2-7k)=-9(-2k+5)+14 equation: 


Simplifying
-1(-2 + -7k) = -9(-2k + 5) + 14
(-2 * -1 + -7k * -1) = -9(-2k + 5) + 14
(2 + 7k) = -9(-2k + 5) + 14

Reorder the terms:
2 + 7k = -9(5 + -2k) + 14
2 + 7k = (5 * -9 + -2k * -9) + 14
2 + 7k = (-45 + 18k) + 14

Reorder the terms:
2 + 7k = -45 + 14 + 18k

Combine like terms: -45 + 14 = -31
2 + 7k = -31 + 18k

Solving
2 + 7k = -31 + 18k

Solving for variable 'k'.

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

Add '-18k' to each side of the equation.
2 + 7k + -18k = -31 + 18k + -18k

Combine like terms: 7k + -18k = -11k
2 + -11k = -31 + 18k + -18k

Combine like terms: 18k + -18k = 0
2 + -11k = -31 + 0
2 + -11k = -31

Add '-2' to each side of the equation.
2 + -2 + -11k = -31 + -2

Combine like terms: 2 + -2 = 0
0 + -11k = -31 + -2
-11k = -31 + -2

Combine like terms: -31 + -2 = -33
-11k = -33

Divide each side by '-11'.
k = 3

Simplifying
k = 3

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