3(7k-6)-8k=-(7-2k)

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Solution for 3(7k-6)-8k=-(7-2k) equation:


Simplifying
3(7k + -6) + -8k = -1(7 + -2k)

Reorder the terms:
3(-6 + 7k) + -8k = -1(7 + -2k)
(-6 * 3 + 7k * 3) + -8k = -1(7 + -2k)
(-18 + 21k) + -8k = -1(7 + -2k)

Combine like terms: 21k + -8k = 13k
-18 + 13k = -1(7 + -2k)
-18 + 13k = (7 * -1 + -2k * -1)
-18 + 13k = (-7 + 2k)

Solving
-18 + 13k = -7 + 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.
-18 + 13k + -2k = -7 + 2k + -2k

Combine like terms: 13k + -2k = 11k
-18 + 11k = -7 + 2k + -2k

Combine like terms: 2k + -2k = 0
-18 + 11k = -7 + 0
-18 + 11k = -7

Add '18' to each side of the equation.
-18 + 18 + 11k = -7 + 18

Combine like terms: -18 + 18 = 0
0 + 11k = -7 + 18
11k = -7 + 18

Combine like terms: -7 + 18 = 11
11k = 11

Divide each side by '11'.
k = 1

Simplifying
k = 1

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