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Simplifying mv = (m + M) * uform Reorder the terms: mv = (M + m) * uform Reorder the terms for easier multiplication: mv = fmoru(M + m) mv = (M * fmoru + m * fmoru) mv = (fmoruM + fm2oru) Solving mv = fmoruM + fm2oru Solving for variable 'm'. Reorder the terms: -1fmoruM + -1fm2oru + mv = fmoruM + fm2oru + -1fmoruM + -1fm2oru Reorder the terms: -1fmoruM + -1fm2oru + mv = fmoruM + -1fmoruM + fm2oru + -1fm2oru Combine like terms: fmoruM + -1fmoruM = 0 -1fmoruM + -1fm2oru + mv = 0 + fm2oru + -1fm2oru -1fmoruM + -1fm2oru + mv = fm2oru + -1fm2oru Combine like terms: fm2oru + -1fm2oru = 0 -1fmoruM + -1fm2oru + mv = 0 Factor out the Greatest Common Factor (GCF), 'm'. m(-1foruM + -1fmoru + v) = 0Subproblem 1
Set the factor 'm' equal to zero and attempt to solve: Simplifying m = 0 Solving m = 0 Move all terms containing m to the left, all other terms to the right. Simplifying m = 0Subproblem 2
Set the factor '(-1foruM + -1fmoru + v)' equal to zero and attempt to solve: Simplifying -1foruM + -1fmoru + v = 0 Reorder the terms: -1fmoru + -1foruM + v = 0 Solving -1fmoru + -1foruM + v = 0 Move all terms containing m to the left, all other terms to the right. Add 'foruM' to each side of the equation. -1fmoru + -1foruM + foruM + v = 0 + foruM Combine like terms: -1foruM + foruM = 0 -1fmoru + 0 + v = 0 + foruM -1fmoru + v = 0 + foruM Remove the zero: -1fmoru + v = foruM Add '-1v' to each side of the equation. -1fmoru + v + -1v = foruM + -1v Combine like terms: v + -1v = 0 -1fmoru + 0 = foruM + -1v -1fmoru = foruM + -1v Divide each side by '-1foru'. m = -1M + f-1o-1r-1u-1v Simplifying m = -1M + f-1o-1r-1u-1vSolution
m = {0, -1M + f-1o-1r-1u-1v}
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