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Simplifying -4(2t + -5) + 5t = 4t + -3 Reorder the terms: -4(-5 + 2t) + 5t = 4t + -3 (-5 * -4 + 2t * -4) + 5t = 4t + -3 (20 + -8t) + 5t = 4t + -3 Combine like terms: -8t + 5t = -3t 20 + -3t = 4t + -3 Reorder the terms: 20 + -3t = -3 + 4t Solving 20 + -3t = -3 + 4t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-4t' to each side of the equation. 20 + -3t + -4t = -3 + 4t + -4t Combine like terms: -3t + -4t = -7t 20 + -7t = -3 + 4t + -4t Combine like terms: 4t + -4t = 0 20 + -7t = -3 + 0 20 + -7t = -3 Add '-20' to each side of the equation. 20 + -20 + -7t = -3 + -20 Combine like terms: 20 + -20 = 0 0 + -7t = -3 + -20 -7t = -3 + -20 Combine like terms: -3 + -20 = -23 -7t = -23 Divide each side by '-7'. t = 3.285714286 Simplifying t = 3.285714286
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