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Simplifying 36 = 4(8z + -2t) + -3(-1t + 4z) Reorder the terms: 36 = 4(-2t + 8z) + -3(-1t + 4z) 36 = (-2t * 4 + 8z * 4) + -3(-1t + 4z) 36 = (-8t + 32z) + -3(-1t + 4z) 36 = -8t + 32z + (-1t * -3 + 4z * -3) 36 = -8t + 32z + (3t + -12z) Reorder the terms: 36 = -8t + 3t + 32z + -12z Combine like terms: -8t + 3t = -5t 36 = -5t + 32z + -12z Combine like terms: 32z + -12z = 20z 36 = -5t + 20z Solving 36 = -5t + 20z Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '5t' to each side of the equation. 36 + 5t = -5t + 5t + 20z Combine like terms: -5t + 5t = 0 36 + 5t = 0 + 20z 36 + 5t = 20z Add '-36' to each side of the equation. 36 + -36 + 5t = -36 + 20z Combine like terms: 36 + -36 = 0 0 + 5t = -36 + 20z 5t = -36 + 20z Divide each side by '5'. t = -7.2 + 4z Simplifying t = -7.2 + 4z
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