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Simplifying [(11mn3 + -6m2n) + -7mn] + -1[-2m2n + -10mn3] = mn3 + 4m2n Remove parenthesis around (11mn3 + -6m2n) [11mn3 + -6m2n + -7mn] + -1[-2m2n + -10mn3] = mn3 + 4m2n Reorder the terms: [-7mn + 11mn3 + -6m2n] + -1[-2m2n + -10mn3] = mn3 + 4m2n Remove brackets around [-7mn + 11mn3 + -6m2n] -7mn + 11mn3 + -6m2n + -1[-2m2n + -10mn3] = mn3 + 4m2n Reorder the terms: -7mn + 11mn3 + -6m2n + -1[-10mn3 + -2m2n] = mn3 + 4m2n -7mn + 11mn3 + -6m2n + [-10mn3 * -1 + -2m2n * -1] = mn3 + 4m2n -7mn + 11mn3 + -6m2n + [10mn3 + 2m2n] = mn3 + 4m2n Reorder the terms: -7mn + 11mn3 + 10mn3 + -6m2n + 2m2n = mn3 + 4m2n Combine like terms: 11mn3 + 10mn3 = 21mn3 -7mn + 21mn3 + -6m2n + 2m2n = mn3 + 4m2n Combine like terms: -6m2n + 2m2n = -4m2n -7mn + 21mn3 + -4m2n = mn3 + 4m2n Solving -7mn + 21mn3 + -4m2n = mn3 + 4m2n Solving for variable 'm'. Reorder the terms: -7mn + 21mn3 + -1mn3 + -4m2n + -4m2n = mn3 + 4m2n + -1mn3 + -4m2n Combine like terms: 21mn3 + -1mn3 = 20mn3 -7mn + 20mn3 + -4m2n + -4m2n = mn3 + 4m2n + -1mn3 + -4m2n Combine like terms: -4m2n + -4m2n = -8m2n -7mn + 20mn3 + -8m2n = mn3 + 4m2n + -1mn3 + -4m2n Reorder the terms: -7mn + 20mn3 + -8m2n = mn3 + -1mn3 + 4m2n + -4m2n Combine like terms: mn3 + -1mn3 = 0 -7mn + 20mn3 + -8m2n = 0 + 4m2n + -4m2n -7mn + 20mn3 + -8m2n = 4m2n + -4m2n Combine like terms: 4m2n + -4m2n = 0 -7mn + 20mn3 + -8m2n = 0 Factor out the Greatest Common Factor (GCF), 'mn'. mn(-7 + 20n2 + -8m) = 0Subproblem 1
Set the factor 'mn' equal to zero and attempt to solve: Simplifying mn = 0 Solving mn = 0 Move all terms containing m to the left, all other terms to the right. Simplifying mn = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(-7 + 20n2 + -8m)' equal to zero and attempt to solve: Simplifying -7 + 20n2 + -8m = 0 Reorder the terms: -7 + -8m + 20n2 = 0 Solving -7 + -8m + 20n2 = 0 Move all terms containing m to the left, all other terms to the right. Add '7' to each side of the equation. -7 + -8m + 7 + 20n2 = 0 + 7 Reorder the terms: -7 + 7 + -8m + 20n2 = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -8m + 20n2 = 0 + 7 -8m + 20n2 = 0 + 7 Combine like terms: 0 + 7 = 7 -8m + 20n2 = 7 Add '-20n2' to each side of the equation. -8m + 20n2 + -20n2 = 7 + -20n2 Combine like terms: 20n2 + -20n2 = 0 -8m + 0 = 7 + -20n2 -8m = 7 + -20n2 Divide each side by '-8'. m = -0.875 + 2.5n2 Simplifying m = -0.875 + 2.5n2Solution
m = {-0.875 + 2.5n2}
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