47-3k=10(-6+10k)+4k

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Solution for 47-3k=10(-6+10k)+4k equation: 


Simplifying
47 + -3k = 10(-6 + 10k) + 4k
47 + -3k = (-6 * 10 + 10k * 10) + 4k
47 + -3k = (-60 + 100k) + 4k

Combine like terms: 100k + 4k = 104k
47 + -3k = -60 + 104k

Solving
47 + -3k = -60 + 104k

Solving for variable 'k'.

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

Add '-104k' to each side of the equation.
47 + -3k + -104k = -60 + 104k + -104k

Combine like terms: -3k + -104k = -107k
47 + -107k = -60 + 104k + -104k

Combine like terms: 104k + -104k = 0
47 + -107k = -60 + 0
47 + -107k = -60

Add '-47' to each side of the equation.
47 + -47 + -107k = -60 + -47

Combine like terms: 47 + -47 = 0
0 + -107k = -60 + -47
-107k = -60 + -47

Combine like terms: -60 + -47 = -107
-107k = -107

Divide each side by '-107'.
k = 1

Simplifying
k = 1

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