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Simplifying 4z + 3t = 7t + 9z Reorder the terms: 3t + 4z = 7t + 9z Solving 3t + 4z = 7t + 9z Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-7t' to each side of the equation. 3t + -7t + 4z = 7t + -7t + 9z Combine like terms: 3t + -7t = -4t -4t + 4z = 7t + -7t + 9z Combine like terms: 7t + -7t = 0 -4t + 4z = 0 + 9z -4t + 4z = 9z Add '-4z' to each side of the equation. -4t + 4z + -4z = 9z + -4z Combine like terms: 4z + -4z = 0 -4t + 0 = 9z + -4z -4t = 9z + -4z Combine like terms: 9z + -4z = 5z -4t = 5z Divide each side by '-4'. t = -1.25z Simplifying t = -1.25z
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