Step 1) Subtract color(red)(8)8 from each side of the equation to isolate the kk term while keeping the equation balanced:
-color(red)(8) + 8 - 3/8k = -color(red)(8) - 4−8+8−38k=−8−4
0 - 3/8k = -120−38k=−12
-3/8k = -12−38k=−12
Step 2) Multiply each side of the equation by -color(red)(8)/color(blue)(3)−83 to solve for kk while keeping the equation balanced:
-color(red)(8)/color(blue)(3) xx -3/8k = -color(red)(8)/color(blue)(3) xx -12−83×−38k=−83×−12
-cancel(color(red)(8))/cancel(color(blue)(3)) xx -color(blue)(cancel(color(black)(3)))/color(red)(cancel(color(black)(8)))k = -color(red)(8)/color(blue)(3) xx -(3 xx 4)
k = -color(red)(8)/cancel(color(blue)(3)) xx -(color(blue)(cancel(color(black)(3))) xx 4)
k = 32