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Simplifying -3(4t + -5) + 5t = 2 + -7 Reorder the terms: -3(-5 + 4t) + 5t = 2 + -7 (-5 * -3 + 4t * -3) + 5t = 2 + -7 (15 + -12t) + 5t = 2 + -7 Combine like terms: -12t + 5t = -7t 15 + -7t = 2 + -7 Combine like terms: 2 + -7 = -5 15 + -7t = -5 Solving 15 + -7t = -5 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -7t = -5 + -15 Combine like terms: 15 + -15 = 0 0 + -7t = -5 + -15 -7t = -5 + -15 Combine like terms: -5 + -15 = -20 -7t = -20 Divide each side by '-7'. t = 2.857142857 Simplifying t = 2.857142857
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