Math Snap

STEP 1

1. The equation $-10r + 12s = -6$ is a linear equation in terms of $s$.
2. We need to isolate $s$ on one side of the equation.
3. The equation involves basic algebraic operations such as addition, subtraction, and division.

STEP 2

1. Rearrange the equation to isolate terms involving $s$.
2. Solve for $s$ by performing algebraic operations.
3. Verify the solution by substituting back into the original equation if necessary.

STEP 3

Start with the given equation:
$$-10r + 12s = -6$$ Our goal is to isolate $s$. First, move the term involving $r$ to the other side of the equation by adding $10r$ to both sides:
$$12s = 10r - 6$$

STEP 4

Now, solve for $s$ by dividing every term by 12:
$$s = \frac{10r - 6}{12}$$ Simplify the expression if possible:
$$s = \frac{10r}{12} - \frac{6}{12}$$ $$s = \frac{5r}{6} - \frac{1}{2}$$

Verification is optional in this context, as the solution is expressed in terms of $r$.
The solution for $s$ is:
$$s = \frac{5r}{6} - \frac{1}{2}$$