Solve for k : {:[k-(-(5)/(6))=-(1)/(6)],[k=◻]:}

Simplify equation: Write the equation in a more simplified form by removing the double negative. k - (-5/6) = -1/6 becomes k + 5/6 = -1/6.Subtract 5/6: Subtract 5/6 from both sides of the equation to isolate k. k + 5/6 - 5/6 = -1/6 - 5/6 k = -1/6 - 5/6Combine fractions: Combine the fractions on the right side of the equation. Since both fractions have the same denominator, we can combine the numerators. k = (-1 - 5)/6 k = -6/6Simplify fraction: Simplify the fraction on the right side of the equation. -6/6 simplifies to -1. k = -1

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Solve for
k :

{:[k-(-(5)/(6))=-(1)/(6)],[k=◻]:}

Solve for $k$ : $\newline$ $\begin{array}{l} k-\left(-\frac{5}{6}\right)=-\frac{1}{6} \\ k=\square \end{array}$

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Math Problems

Grade 6

Multiply using the distributive property

Full solution

Q. Solve for

k

\newline

\begin{array}{l} k-\left(-\frac{5}{6}\right)=-\frac{1}{6} \\ k=\square \end{array}

Simplify equation: Write the equation in a more simplified form by removing the double negative. $k - (-\frac{5}{6}) = -\frac{1}{6}$ becomes $k + \frac{5}{6} = -\frac{1}{6}$ .
Subtract $\frac{5}{6}$ : Subtract $\frac{5}{6}$ from both sides of the equation to isolate $k$ . $\newline$ $k + \frac{5}{6} - \frac{5}{6} = -\frac{1}{6} - \frac{5}{6}$ $\newline$ $k = -\frac{1}{6} - \frac{5}{6}$
Combine fractions: Combine the fractions on the right side of the equation. $\newline$ Since both fractions have the same denominator, we can combine the numerators. $\newline$ $k = \frac{-1 - 5}{6}$ $\newline$ $k = \frac{-6}{6}$
Simplify fraction: Simplify the fraction on the right side of the equation. $\newline$ $-\frac{6}{6}$ simplifies to $-1$ . $\newline$ $k = -1$