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Simplifying (m + n) * p + -1(m + n) * r = 0 Reorder the terms for easier multiplication: p(m + n) + -1(m + n) * r = 0 (m * p + n * p) + -1(m + n) * r = 0 (mp + np) + -1(m + n) * r = 0 Reorder the terms for easier multiplication: mp + np + -1r(m + n) = 0 mp + np + (m * -1r + n * -1r) = 0 mp + np + (-1mr + -1nr) = 0 Reorder the terms: mp + -1mr + np + -1nr = 0 Solving mp + -1mr + np + -1nr = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-1np' to each side of the equation. mp + -1mr + np + -1np + -1nr = 0 + -1np Combine like terms: np + -1np = 0 mp + -1mr + 0 + -1nr = 0 + -1np mp + -1mr + -1nr = 0 + -1np Remove the zero: mp + -1mr + -1nr = -1np Add 'nr' to each side of the equation. mp + -1mr + -1nr + nr = -1np + nr Combine like terms: -1nr + nr = 0 mp + -1mr + 0 = -1np + nr mp + -1mr = -1np + nr Reorder the terms: mp + -1mr + np + -1nr = -1np + np + nr + -1nr Combine like terms: -1np + np = 0 mp + -1mr + np + -1nr = 0 + nr + -1nr mp + -1mr + np + -1nr = nr + -1nr Combine like terms: nr + -1nr = 0 mp + -1mr + np + -1nr = 0 The solution to this equation could not be determined.
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