7(k+6)=-(k-10)

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Solution for 7(k+6)=-(k-10) equation:


Simplifying
7(k + 6) = -1(k + -10)

Reorder the terms:
7(6 + k) = -1(k + -10)
(6 * 7 + k * 7) = -1(k + -10)
(42 + 7k) = -1(k + -10)

Reorder the terms:
42 + 7k = -1(-10 + k)
42 + 7k = (-10 * -1 + k * -1)
42 + 7k = (10 + -1k)

Solving
42 + 7k = 10 + -1k

Solving for variable 'k'.

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

Add 'k' to each side of the equation.
42 + 7k + k = 10 + -1k + k

Combine like terms: 7k + k = 8k
42 + 8k = 10 + -1k + k

Combine like terms: -1k + k = 0
42 + 8k = 10 + 0
42 + 8k = 10

Add '-42' to each side of the equation.
42 + -42 + 8k = 10 + -42

Combine like terms: 42 + -42 = 0
0 + 8k = 10 + -42
8k = 10 + -42

Combine like terms: 10 + -42 = -32
8k = -32

Divide each side by '8'.
k = -4

Simplifying
k = -4

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