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Simplifying 3t + 7y + -8z + -4z + 5t = 0 Reorder the terms: 3t + 5t + 7y + -8z + -4z = 0 Combine like terms: 3t + 5t = 8t 8t + 7y + -8z + -4z = 0 Combine like terms: -8z + -4z = -12z 8t + 7y + -12z = 0 Solving 8t + 7y + -12z = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-7y' to each side of the equation. 8t + 7y + -7y + -12z = 0 + -7y Combine like terms: 7y + -7y = 0 8t + 0 + -12z = 0 + -7y 8t + -12z = 0 + -7y Remove the zero: 8t + -12z = -7y Add '12z' to each side of the equation. 8t + -12z + 12z = -7y + 12z Combine like terms: -12z + 12z = 0 8t + 0 = -7y + 12z 8t = -7y + 12z Divide each side by '8'. t = -0.875y + 1.5z Simplifying t = -0.875y + 1.5z
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