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Simplifying 4(8z + -2t) + -3(-1t + -4z) = 0 Reorder the terms: 4(-2t + 8z) + -3(-1t + -4z) = 0 (-2t * 4 + 8z * 4) + -3(-1t + -4z) = 0 (-8t + 32z) + -3(-1t + -4z) = 0 -8t + 32z + (-1t * -3 + -4z * -3) = 0 -8t + 32z + (3t + 12z) = 0 Reorder the terms: -8t + 3t + 32z + 12z = 0 Combine like terms: -8t + 3t = -5t -5t + 32z + 12z = 0 Combine like terms: 32z + 12z = 44z -5t + 44z = 0 Solving -5t + 44z = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-44z' to each side of the equation. -5t + 44z + -44z = 0 + -44z Combine like terms: 44z + -44z = 0 -5t + 0 = 0 + -44z -5t = 0 + -44z Remove the zero: -5t = -44z Divide each side by '-5'. t = 8.8z Simplifying t = 8.8z
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