Subtraction in Simple equations

Find the value of $v$ in the equation $-14 = v - 19$.

Solution

Since it is a simple equation, rewrite it as $v - 19 = -14$. To make $v$ remain alone in the left-hand side, add 19 to both sides of the equation:

1. Add 19 to both sides

   $v - 19 + 19 = -14 + 19$

   $v = 5$

Therefore, the value of $v = 5$.

Find the value of $R$ if $R - 0.5 = 9$.

Solution

To make $R$ remain alone in the left-hand side, add 0.5 to both sides of the equation:

1. Add 0.5 to both sides

   $R - 0.5 + 0.5 = 9 + 0.5$

   $R + 0 = 9.5$

   $R = 9.5$

Therefore, the value of $R = 9.5$.

Find the value of $w$ in the following equation: $7w - 18 - w = 72$

Solution

1. Collect like terms and simplify

   $7w - w - 18 = 72$

   $6w - 18 = 72$

2. Add 18 to both sides

   $6w - 18 + 18 = 72 + 18$

   $6w + 0 = 90$

   $6w = 90$

3. Divide by the coefficient of w

   $\frac{6w}{6} = \frac{90}{6}$

   $w = 15$

Therefore, the value of $w = 15$.