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In this Royal Math video tutorial, the focus is on the transposition of formulas, specifically to rearrange the equation F = s(M - m) / (M + m) to make lowercase m the subject. The process begins by moving the denominator (M + m) to the left-hand side to balance the equation. The first step involves multiplying both sides by (M + m), which leads to the equation F(M + m) = s(M - m). The tutorial will continue with a step-by-step guide to isolate m and solve the equation effectively.