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Solve for k. {:[8(10-k)=2k],[k=◻]:}

Solve for k k .\newline8(10−k)=2k 8(10-k)=2 k \newlinek= k=

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Full solution

Q. Solve for k k .\newline8(10−k)=2k 8(10-k)=2 k \newlinek= k=
  1. Simplify expression using distributive property: Simplify 8(10−k)8(10 - k) by using the distributive property.\newline8(10−k)8(10 - k) \newline= 8(10)+8(−k)8(10) + 8(-k)\newline= 80−8k80 - 8k
  2. Write equation with simplified expression: Write the equation with the simplified expression.\newline80−8k=2k80 - 8k = 2k
  3. Isolate variable by moving terms: Isolate the variable kk by moving all kk terms to one side of the equation.\newline80=2k+8k80 = 2k + 8k\newline80=10k80 = 10k
  4. Divide both sides to solve for k: Divide both sides by 1010 to solve for k.\newline\frac{8080}{1010} = \frac{1010k}{1010}\newline88 = k

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