Question

you chose to solve this equation by subtracting \\(\frac{1}{2}m\\) from each side. now, keep going to solve for the value of \\(m\\). \\(\

$$\begin{align}\\frac{1}{2}m + 7 &= m + 15\\\\-\\frac{1}{2}m \\quad \\quad \\quad \\quad &\\quad \\quad -\\frac{1}{2}m\\\\\\hline 7 &= \\frac{1}{2}m + 15\\\\- 15 \\quad \\quad \\quad \\quad &\\quad \\quad - 15\\\\\\hline -8 &= \\frac{1}{2}m\\end{align}$$

\\) \\(m = \boxed{}\\)

Explanation:

Step1: Eliminate fraction coefficient

Multiply both sides by 2.
$$2 \times (-8) = 2 \times \frac{1}{2}m$$

Step2: Simplify to solve for m

Calculate both sides of the equation.
$$-16 = m$$

Answer:

$m = -16$