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Simplifying x(m + 5) + y(m + -6) = z(m + -2) Reorder the terms: x(5 + m) + y(m + -6) = z(m + -2) (5 * x + m * x) + y(m + -6) = z(m + -2) Reorder the terms: (mx + 5x) + y(m + -6) = z(m + -2) (mx + 5x) + y(m + -6) = z(m + -2) Reorder the terms: mx + 5x + y(-6 + m) = z(m + -2) mx + 5x + (-6 * y + m * y) = z(m + -2) Reorder the terms: mx + 5x + (my + -6y) = z(m + -2) mx + 5x + (my + -6y) = z(m + -2) Reorder the terms: mx + my + 5x + -6y = z(m + -2) Reorder the terms: mx + my + 5x + -6y = z(-2 + m) mx + my + 5x + -6y = (-2 * z + m * z) Reorder the terms: mx + my + 5x + -6y = (mz + -2z) mx + my + 5x + -6y = (mz + -2z) Solving mx + my + 5x + -6y = mz + -2z Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-1mz' to each side of the equation. mx + my + 5x + -1mz + -6y = mz + -1mz + -2z Reorder the terms: mx + my + -1mz + 5x + -6y = mz + -1mz + -2z Combine like terms: mz + -1mz = 0 mx + my + -1mz + 5x + -6y = 0 + -2z mx + my + -1mz + 5x + -6y = -2z Add '-5x' to each side of the equation. mx + my + -1mz + 5x + -5x + -6y = -5x + -2z Combine like terms: 5x + -5x = 0 mx + my + -1mz + 0 + -6y = -5x + -2z mx + my + -1mz + -6y = -5x + -2z Add '6y' to each side of the equation. mx + my + -1mz + -6y + 6y = -5x + 6y + -2z Combine like terms: -6y + 6y = 0 mx + my + -1mz + 0 = -5x + 6y + -2z mx + my + -1mz = -5x + 6y + -2z Reorder the terms: mx + my + -1mz + 5x + -6y + 2z = -5x + 5x + 6y + -6y + -2z + 2z Combine like terms: -5x + 5x = 0 mx + my + -1mz + 5x + -6y + 2z = 0 + 6y + -6y + -2z + 2z mx + my + -1mz + 5x + -6y + 2z = 6y + -6y + -2z + 2z Combine like terms: 6y + -6y = 0 mx + my + -1mz + 5x + -6y + 2z = 0 + -2z + 2z mx + my + -1mz + 5x + -6y + 2z = -2z + 2z Combine like terms: -2z + 2z = 0 mx + my + -1mz + 5x + -6y + 2z = 0 The solution to this equation could not be determined.
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