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Simplifying 5(x + y + z + t) + 10 = 2xyzt Reorder the terms: 5(t + x + y + z) + 10 = 2xyzt (t * 5 + x * 5 + y * 5 + z * 5) + 10 = 2xyzt (5t + 5x + 5y + 5z) + 10 = 2xyzt Reorder the terms: 10 + 5t + 5x + 5y + 5z = 2xyzt Solving 10 + 5t + 5x + 5y + 5z = 2txyz Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-2txyz' to each side of the equation. 10 + 5t + 5x + 5y + -2txyz + 5z = 2txyz + -2txyz Reorder the terms: 10 + 5t + -2txyz + 5x + 5y + 5z = 2txyz + -2txyz Combine like terms: 2txyz + -2txyz = 0 10 + 5t + -2txyz + 5x + 5y + 5z = 0 Add '-10' to each side of the equation. 10 + 5t + -2txyz + 5x + 5y + -10 + 5z = 0 + -10 Reorder the terms: 10 + -10 + 5t + -2txyz + 5x + 5y + 5z = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 5t + -2txyz + 5x + 5y + 5z = 0 + -10 5t + -2txyz + 5x + 5y + 5z = 0 + -10 Combine like terms: 0 + -10 = -10 5t + -2txyz + 5x + 5y + 5z = -10 Add '-5x' to each side of the equation. 5t + -2txyz + 5x + 5y + -5x + 5z = -10 + -5x Reorder the terms: 5t + -2txyz + 5x + -5x + 5y + 5z = -10 + -5x Combine like terms: 5x + -5x = 0 5t + -2txyz + 0 + 5y + 5z = -10 + -5x 5t + -2txyz + 5y + 5z = -10 + -5x Add '-5y' to each side of the equation. 5t + -2txyz + 5y + -5y + 5z = -10 + -5x + -5y Combine like terms: 5y + -5y = 0 5t + -2txyz + 0 + 5z = -10 + -5x + -5y 5t + -2txyz + 5z = -10 + -5x + -5y Add '-5z' to each side of the equation. 5t + -2txyz + 5z + -5z = -10 + -5x + -5y + -5z Combine like terms: 5z + -5z = 0 5t + -2txyz + 0 = -10 + -5x + -5y + -5z 5t + -2txyz = -10 + -5x + -5y + -5z Reorder the terms: 10 + 5t + -2txyz + 5x + 5y + 5z = -10 + -5x + -5y + -5z + 10 + 5x + 5y + 5z Reorder the terms: 10 + 5t + -2txyz + 5x + 5y + 5z = -10 + 10 + -5x + 5x + -5y + 5y + -5z + 5z Combine like terms: -10 + 10 = 0 10 + 5t + -2txyz + 5x + 5y + 5z = 0 + -5x + 5x + -5y + 5y + -5z + 5z 10 + 5t + -2txyz + 5x + 5y + 5z = -5x + 5x + -5y + 5y + -5z + 5z Combine like terms: -5x + 5x = 0 10 + 5t + -2txyz + 5x + 5y + 5z = 0 + -5y + 5y + -5z + 5z 10 + 5t + -2txyz + 5x + 5y + 5z = -5y + 5y + -5z + 5z Combine like terms: -5y + 5y = 0 10 + 5t + -2txyz + 5x + 5y + 5z = 0 + -5z + 5z 10 + 5t + -2txyz + 5x + 5y + 5z = -5z + 5z Combine like terms: -5z + 5z = 0 10 + 5t + -2txyz + 5x + 5y + 5z = 0 The solution to this equation could not be determined.
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