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Simplifying x(m + 6) + y(m + -3) = z(m + -9) Reorder the terms: x(6 + m) + y(m + -3) = z(m + -9) (6 * x + m * x) + y(m + -3) = z(m + -9) Reorder the terms: (mx + 6x) + y(m + -3) = z(m + -9) (mx + 6x) + y(m + -3) = z(m + -9) Reorder the terms: mx + 6x + y(-3 + m) = z(m + -9) mx + 6x + (-3 * y + m * y) = z(m + -9) Reorder the terms: mx + 6x + (my + -3y) = z(m + -9) mx + 6x + (my + -3y) = z(m + -9) Reorder the terms: mx + my + 6x + -3y = z(m + -9) Reorder the terms: mx + my + 6x + -3y = z(-9 + m) mx + my + 6x + -3y = (-9 * z + m * z) Reorder the terms: mx + my + 6x + -3y = (mz + -9z) mx + my + 6x + -3y = (mz + -9z) Solving mx + my + 6x + -3y = mz + -9z 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 + 6x + -1mz + -3y = mz + -1mz + -9z Reorder the terms: mx + my + -1mz + 6x + -3y = mz + -1mz + -9z Combine like terms: mz + -1mz = 0 mx + my + -1mz + 6x + -3y = 0 + -9z mx + my + -1mz + 6x + -3y = -9z Add '-6x' to each side of the equation. mx + my + -1mz + 6x + -6x + -3y = -6x + -9z Combine like terms: 6x + -6x = 0 mx + my + -1mz + 0 + -3y = -6x + -9z mx + my + -1mz + -3y = -6x + -9z Add '3y' to each side of the equation. mx + my + -1mz + -3y + 3y = -6x + 3y + -9z Combine like terms: -3y + 3y = 0 mx + my + -1mz + 0 = -6x + 3y + -9z mx + my + -1mz = -6x + 3y + -9z Reorder the terms: mx + my + -1mz + 6x + -3y + 9z = -6x + 6x + 3y + -3y + -9z + 9z Combine like terms: -6x + 6x = 0 mx + my + -1mz + 6x + -3y + 9z = 0 + 3y + -3y + -9z + 9z mx + my + -1mz + 6x + -3y + 9z = 3y + -3y + -9z + 9z Combine like terms: 3y + -3y = 0 mx + my + -1mz + 6x + -3y + 9z = 0 + -9z + 9z mx + my + -1mz + 6x + -3y + 9z = -9z + 9z Combine like terms: -9z + 9z = 0 mx + my + -1mz + 6x + -3y + 9z = 0 The solution to this equation could not be determined.
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