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Simplifying 5z + 3(z + -1t) + -1t = 0 Reorder the terms: 5z + 3(-1t + z) + -1t = 0 5z + (-1t * 3 + z * 3) + -1t = 0 5z + (-3t + 3z) + -1t = 0 Reorder the terms: -3t + -1t + 5z + 3z = 0 Combine like terms: -3t + -1t = -4t -4t + 5z + 3z = 0 Combine like terms: 5z + 3z = 8z -4t + 8z = 0 Solving -4t + 8z = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-8z' to each side of the equation. -4t + 8z + -8z = 0 + -8z Combine like terms: 8z + -8z = 0 -4t + 0 = 0 + -8z -4t = 0 + -8z Remove the zero: -4t = -8z Divide each side by '-4'. t = 2z Simplifying t = 2z
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