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Simplifying -3(4t + -5) + 8t = 3t + -8 Reorder the terms: -3(-5 + 4t) + 8t = 3t + -8 (-5 * -3 + 4t * -3) + 8t = 3t + -8 (15 + -12t) + 8t = 3t + -8 Combine like terms: -12t + 8t = -4t 15 + -4t = 3t + -8 Reorder the terms: 15 + -4t = -8 + 3t Solving 15 + -4t = -8 + 3t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-3t' to each side of the equation. 15 + -4t + -3t = -8 + 3t + -3t Combine like terms: -4t + -3t = -7t 15 + -7t = -8 + 3t + -3t Combine like terms: 3t + -3t = 0 15 + -7t = -8 + 0 15 + -7t = -8 Add '-15' to each side of the equation. 15 + -15 + -7t = -8 + -15 Combine like terms: 15 + -15 = 0 0 + -7t = -8 + -15 -7t = -8 + -15 Combine like terms: -8 + -15 = -23 -7t = -23 Divide each side by '-7'. t = 3.285714286 Simplifying t = 3.285714286
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