-9(k-7)-(-7k-3)=-3k

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Solution for -9(k-7)-(-7k-3)=-3k equation: 


Simplifying
-9(k + -7) + -1(-7k + -3) = -3k

Reorder the terms:
-9(-7 + k) + -1(-7k + -3) = -3k
(-7 * -9 + k * -9) + -1(-7k + -3) = -3k
(63 + -9k) + -1(-7k + -3) = -3k

Reorder the terms:
63 + -9k + -1(-3 + -7k) = -3k
63 + -9k + (-3 * -1 + -7k * -1) = -3k
63 + -9k + (3 + 7k) = -3k

Reorder the terms:
63 + 3 + -9k + 7k = -3k

Combine like terms: 63 + 3 = 66
66 + -9k + 7k = -3k

Combine like terms: -9k + 7k = -2k
66 + -2k = -3k

Solving
66 + -2k = -3k

Solving for variable 'k'.

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

Add '3k' to each side of the equation.
66 + -2k + 3k = -3k + 3k

Combine like terms: -2k + 3k = 1k
66 + 1k = -3k + 3k

Combine like terms: -3k + 3k = 0
66 + 1k = 0

Add '-66' to each side of the equation.
66 + -66 + 1k = 0 + -66

Combine like terms: 66 + -66 = 0
0 + 1k = 0 + -66
1k = 0 + -66

Combine like terms: 0 + -66 = -66
1k = -66

Divide each side by '1'.
k = -66

Simplifying
k = -66

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