8(k-7)-k=-8k+34

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Solution for 8(k-7)-k=-8k+34 equation: 


Simplifying
8(k + -7) + -1k = -8k + 34

Reorder the terms:
8(-7 + k) + -1k = -8k + 34
(-7 * 8 + k * 8) + -1k = -8k + 34
(-56 + 8k) + -1k = -8k + 34

Combine like terms: 8k + -1k = 7k
-56 + 7k = -8k + 34

Reorder the terms:
-56 + 7k = 34 + -8k

Solving
-56 + 7k = 34 + -8k

Solving for variable 'k'.

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

Add '8k' to each side of the equation.
-56 + 7k + 8k = 34 + -8k + 8k

Combine like terms: 7k + 8k = 15k
-56 + 15k = 34 + -8k + 8k

Combine like terms: -8k + 8k = 0
-56 + 15k = 34 + 0
-56 + 15k = 34

Add '56' to each side of the equation.
-56 + 56 + 15k = 34 + 56

Combine like terms: -56 + 56 = 0
0 + 15k = 34 + 56
15k = 34 + 56

Combine like terms: 34 + 56 = 90
15k = 90

Divide each side by '15'.
k = 6

Simplifying
k = 6

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