Question

solve the equation and check your solution.\\(2m - 13 = -8m + 27\\)\\(m = \\)\\(\boldsymbol{?}\\) need help?

Explanation:

Step1: Add $8m$ to both sides

$2m + 8m - 13 = -8m + 8m + 27$
$10m - 13 = 27$

Step2: Add 13 to both sides

$10m - 13 + 13 = 27 + 13$
$10m = 40$

Step3: Divide by 10 on both sides

$\frac{10m}{10} = \frac{40}{10}$
$m = 4$

Step4: Verify the solution

Substitute $m=4$ into original equation:
Left side: $2(4) - 13 = 8 - 13 = -5$
Right side: $-8(4) + 27 = -32 + 27 = -5$
Both sides are equal, so solution is valid.

Answer:

$m = 4$