Question

SOLVE FOR THE VARIABLE

9/2m - 6 = -3 1/2 + 4m

nine halves m minus 6 = negative 3 and a half + 4m

thank you

Answer 1

Move every term with m in it onto one side, and the constants on the other. Divide the constant by the coefficient of m to get m.
9/2m - 4m = -3.5 + 6
2.5/0.5=5
M=5

Answer 2

9m/2 - 6 = -7/2 + 4m.
Multiply both sides by 2:
9m - 12 = -7 + 8m.
9m - 8m = 12 - 7.
m = 5.