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Simplifying m(1 + -1x) + -1n(1 + -1x) = p(1 + -1x) (1 * m + -1x * m) + -1n(1 + -1x) = p(1 + -1x) (1m + -1mx) + -1n(1 + -1x) = p(1 + -1x) 1m + -1mx + (1 * -1n + -1x * -1n) = p(1 + -1x) 1m + -1mx + (-1n + 1nx) = p(1 + -1x) 1m + -1mx + -1n + 1nx = (1 * p + -1x * p) 1m + -1mx + -1n + 1nx = (1p + -1px) Solving 1m + -1mx + -1n + 1nx = 1p + -1px Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add 'n' to each side of the equation. 1m + -1mx + -1n + n + 1nx = 1p + n + -1px Combine like terms: -1n + n = 0 1m + -1mx + 0 + 1nx = 1p + n + -1px 1m + -1mx + 1nx = 1p + n + -1px Reorder the terms: 1m + -1mx + 1nx = n + 1p + -1px Add '-1nx' to each side of the equation. 1m + -1mx + 1nx + -1nx = n + 1p + -1nx + -1px Combine like terms: 1nx + -1nx = 0 1m + -1mx + 0 = n + 1p + -1nx + -1px 1m + -1mx = n + 1p + -1nx + -1px Reorder the terms: 1m + -1mx = n + -1nx + 1p + -1px Reorder the terms: 1m + -1mx + -1n + nx + -1p + px = n + -1n + -1nx + nx + 1p + -1p + -1px + px Combine like terms: n + -1n = 0 1m + -1mx + -1n + nx + -1p + px = 0 + -1nx + nx + 1p + -1p + -1px + px 1m + -1mx + -1n + nx + -1p + px = -1nx + nx + 1p + -1p + -1px + px Combine like terms: -1nx + nx = 0 1m + -1mx + -1n + nx + -1p + px = 0 + 1p + -1p + -1px + px 1m + -1mx + -1n + nx + -1p + px = 1p + -1p + -1px + px Combine like terms: 1p + -1p = 0 1m + -1mx + -1n + nx + -1p + px = 0 + -1px + px 1m + -1mx + -1n + nx + -1p + px = -1px + px Combine like terms: -1px + px = 0 1m + -1mx + -1n + nx + -1p + px = 0 The solution to this equation could not be determined.
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