=9(2k-4)-2(7k-12)

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Solution for =9(2k-4)-2(7k-12) equation:


Simplifying
0 = 9(2k + -4) + -2(7k + -12)

Reorder the terms:
0 = 9(-4 + 2k) + -2(7k + -12)
0 = (-4 * 9 + 2k * 9) + -2(7k + -12)
0 = (-36 + 18k) + -2(7k + -12)

Reorder the terms:
0 = -36 + 18k + -2(-12 + 7k)
0 = -36 + 18k + (-12 * -2 + 7k * -2)
0 = -36 + 18k + (24 + -14k)

Reorder the terms:
0 = -36 + 24 + 18k + -14k

Combine like terms: -36 + 24 = -12
0 = -12 + 18k + -14k

Combine like terms: 18k + -14k = 4k
0 = -12 + 4k

Solving
0 = -12 + 4k

Solving for variable 'k'.

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

Add '-4k' to each side of the equation.
0 + -4k = -12 + 4k + -4k
Remove the zero:
-4k = -12 + 4k + -4k

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

Divide each side by '-4'.
k = 3

Simplifying
k = 3

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