-7k+27=3(1-6k)+8k

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Solution for -7k+27=3(1-6k)+8k equation:


Simplifying
-7k + 27 = 3(1 + -6k) + 8k

Reorder the terms:
27 + -7k = 3(1 + -6k) + 8k
27 + -7k = (1 * 3 + -6k * 3) + 8k
27 + -7k = (3 + -18k) + 8k

Combine like terms: -18k + 8k = -10k
27 + -7k = 3 + -10k

Solving
27 + -7k = 3 + -10k

Solving for variable 'k'.

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

Add '10k' to each side of the equation.
27 + -7k + 10k = 3 + -10k + 10k

Combine like terms: -7k + 10k = 3k
27 + 3k = 3 + -10k + 10k

Combine like terms: -10k + 10k = 0
27 + 3k = 3 + 0
27 + 3k = 3

Add '-27' to each side of the equation.
27 + -27 + 3k = 3 + -27

Combine like terms: 27 + -27 = 0
0 + 3k = 3 + -27
3k = 3 + -27

Combine like terms: 3 + -27 = -24
3k = -24

Divide each side by '3'.
k = -8

Simplifying
k = -8

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