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Simplifying m(a + 5b) + -1n(a + 5b) = 0 (a * m + 5b * m) + -1n(a + 5b) = 0 (am + 5bm) + -1n(a + 5b) = 0 am + 5bm + (a * -1n + 5b * -1n) = 0 am + 5bm + (-1an + -5bn) = 0 Reorder the terms: am + -1an + 5bm + -5bn = 0 Solving am + -1an + 5bm + -5bn = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5bm' to each side of the equation. am + -1an + 5bm + -5bm + -5bn = 0 + -5bm Combine like terms: 5bm + -5bm = 0 am + -1an + 0 + -5bn = 0 + -5bm am + -1an + -5bn = 0 + -5bm Remove the zero: am + -1an + -5bn = -5bm Add '5bn' to each side of the equation. am + -1an + -5bn + 5bn = -5bm + 5bn Combine like terms: -5bn + 5bn = 0 am + -1an + 0 = -5bm + 5bn am + -1an = -5bm + 5bn Reorder the terms: am + -1an + 5bm + -5bn = -5bm + 5bm + 5bn + -5bn Combine like terms: -5bm + 5bm = 0 am + -1an + 5bm + -5bn = 0 + 5bn + -5bn am + -1an + 5bm + -5bn = 5bn + -5bn Combine like terms: 5bn + -5bn = 0 am + -1an + 5bm + -5bn = 0 The solution to this equation could not be determined.
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