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Simplifying 8t + -5(4t + 2) = 3(5 + -3t) + -1 Reorder the terms: 8t + -5(2 + 4t) = 3(5 + -3t) + -1 8t + (2 * -5 + 4t * -5) = 3(5 + -3t) + -1 8t + (-10 + -20t) = 3(5 + -3t) + -1 Reorder the terms: -10 + 8t + -20t = 3(5 + -3t) + -1 Combine like terms: 8t + -20t = -12t -10 + -12t = 3(5 + -3t) + -1 -10 + -12t = (5 * 3 + -3t * 3) + -1 -10 + -12t = (15 + -9t) + -1 Reorder the terms: -10 + -12t = 15 + -1 + -9t Combine like terms: 15 + -1 = 14 -10 + -12t = 14 + -9t Solving -10 + -12t = 14 + -9t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '9t' to each side of the equation. -10 + -12t + 9t = 14 + -9t + 9t Combine like terms: -12t + 9t = -3t -10 + -3t = 14 + -9t + 9t Combine like terms: -9t + 9t = 0 -10 + -3t = 14 + 0 -10 + -3t = 14 Add '10' to each side of the equation. -10 + 10 + -3t = 14 + 10 Combine like terms: -10 + 10 = 0 0 + -3t = 14 + 10 -3t = 14 + 10 Combine like terms: 14 + 10 = 24 -3t = 24 Divide each side by '-3'. t = -8 Simplifying t = -8
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