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F net M = M * a = Tension - M * g
F net m = m * a = m * g * sin(ɵ) - Tension
adding the two equations: a(M+m) = g [m * sin(ɵ)] - g * M
final answer: a = g {[m * sin(ɵ)] - M}/(M+m)
good review in 11 min here;