6k-7(5+k)=3(-6k-6)

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Solution for 6k-7(5+k)=3(-6k-6) equation:


Simplifying
6k + -7(5 + k) = 3(-6k + -6)
6k + (5 * -7 + k * -7) = 3(-6k + -6)
6k + (-35 + -7k) = 3(-6k + -6)

Reorder the terms:
-35 + 6k + -7k = 3(-6k + -6)

Combine like terms: 6k + -7k = -1k
-35 + -1k = 3(-6k + -6)

Reorder the terms:
-35 + -1k = 3(-6 + -6k)
-35 + -1k = (-6 * 3 + -6k * 3)
-35 + -1k = (-18 + -18k)

Solving
-35 + -1k = -18 + -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.
-35 + -1k + 18k = -18 + -18k + 18k

Combine like terms: -1k + 18k = 17k
-35 + 17k = -18 + -18k + 18k

Combine like terms: -18k + 18k = 0
-35 + 17k = -18 + 0
-35 + 17k = -18

Add '35' to each side of the equation.
-35 + 35 + 17k = -18 + 35

Combine like terms: -35 + 35 = 0
0 + 17k = -18 + 35
17k = -18 + 35

Combine like terms: -18 + 35 = 17
17k = 17

Divide each side by '17'.
k = 1

Simplifying
k = 1

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