7(k-4)-7k=12-2(k+8)

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Solution for 7(k-4)-7k=12-2(k+8) equation:


Simplifying
7(k + -4) + -7k = 12 + -2(k + 8)

Reorder the terms:
7(-4 + k) + -7k = 12 + -2(k + 8)
(-4 * 7 + k * 7) + -7k = 12 + -2(k + 8)
(-28 + 7k) + -7k = 12 + -2(k + 8)

Combine like terms: 7k + -7k = 0
-28 + 0 = 12 + -2(k + 8)
-28 = 12 + -2(k + 8)

Reorder the terms:
-28 = 12 + -2(8 + k)
-28 = 12 + (8 * -2 + k * -2)
-28 = 12 + (-16 + -2k)

Combine like terms: 12 + -16 = -4
-28 = -4 + -2k

Solving
-28 = -4 + -2k

Solving for variable 'k'.

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

Add '2k' to each side of the equation.
-28 + 2k = -4 + -2k + 2k

Combine like terms: -2k + 2k = 0
-28 + 2k = -4 + 0
-28 + 2k = -4

Add '28' to each side of the equation.
-28 + 28 + 2k = -4 + 28

Combine like terms: -28 + 28 = 0
0 + 2k = -4 + 28
2k = -4 + 28

Combine like terms: -4 + 28 = 24
2k = 24

Divide each side by '2'.
k = 12

Simplifying
k = 12

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