7k-2(4k-6)=-4+3k

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Solution for 7k-2(4k-6)=-4+3k equation:


Simplifying
7k + -2(4k + -6) = -4 + 3k

Reorder the terms:
7k + -2(-6 + 4k) = -4 + 3k
7k + (-6 * -2 + 4k * -2) = -4 + 3k
7k + (12 + -8k) = -4 + 3k

Reorder the terms:
12 + 7k + -8k = -4 + 3k

Combine like terms: 7k + -8k = -1k
12 + -1k = -4 + 3k

Solving
12 + -1k = -4 + 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.
12 + -1k + -3k = -4 + 3k + -3k

Combine like terms: -1k + -3k = -4k
12 + -4k = -4 + 3k + -3k

Combine like terms: 3k + -3k = 0
12 + -4k = -4 + 0
12 + -4k = -4

Add '-12' to each side of the equation.
12 + -12 + -4k = -4 + -12

Combine like terms: 12 + -12 = 0
0 + -4k = -4 + -12
-4k = -4 + -12

Combine like terms: -4 + -12 = -16
-4k = -16

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

Simplifying
k = 4

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