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-6(1+3k)= -20k

Question

-6(1+3k)= -20k

Explanation:

Step1: Expand left-hand side

$-6(1+3k) = -6 - 18k$
Equation becomes: $-6 - 18k = -20k$

Step2: Add $20k$ to both sides

$-6 - 18k + 20k = -20k + 20k$
Simplify: $-6 + 2k = 0$

Step3: Add 6 to both sides

$-6 + 2k + 6 = 0 + 6$
Simplify: $2k = 6$

Step4: Divide by 2

$\frac{2k}{2} = \frac{6}{2}$
Simplify: $k = 3$

Answer:

$k=3$