Solve for r. -10-5r=-6r-1

Isolate variable terms: Isolate the variable terms on one side of the equation. We want to get all the terms with r on one side and the constant terms on the other side. To do this, we can add 6r to both sides of the equation to move the -6r term to the left side. -10 - 5r + 6r = -6r - 1 + 6r This simplifies to: -10 + r = -1Add 6r to both sides: Isolate the variable r on one side. Now we want to solve for r by getting it alone on one side of the equation. We can do this by adding 10 to both sides of the equation to move the -10 to the right side. -10 + r + 10 = -1 + 10 This simplifies to: r = 9

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Solve for $r$ . $\newline$ $-10 - 5r = -6r - 1$

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Math Problems

Algebra 1

Solve linear equations with variables on both sides

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Q. Solve for

r

\newline

-10 - 5r = -6r - 1

Isolate variable terms: Isolate the variable terms on one side of the equation. $\newline$ We want to get all the terms with $r$ on one side and the constant terms on the other side. To do this, we can add $6r$ to both sides of the equation to move the $-6r$ term to the left side. $\newline$ $-10 - 5r + 6r = -6r - 1 + 6r$ $\newline$ This simplifies to: $\newline$ $-10 + r = -1$
Add $6r$ to both sides: Isolate the variable $r$ on one side. $\newline$ Now we want to solve for $r$ by getting it alone on one side of the equation. We can do this by adding $10$ to both sides of the equation to move the $-10$ to the right side. $\newline$ $-10 + r + 10 = -1 + 10$ $\newline$ This simplifies to: $\newline$ $r = 9$