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Simplifying 5(t + -3) * 4 = 2t + 5 Reorder the terms: 5(-3 + t) * 4 = 2t + 5 Reorder the terms for easier multiplication: 5 * 4(-3 + t) = 2t + 5 Multiply 5 * 4 20(-3 + t) = 2t + 5 (-3 * 20 + t * 20) = 2t + 5 (-60 + 20t) = 2t + 5 Reorder the terms: -60 + 20t = 5 + 2t Solving -60 + 20t = 5 + 2t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-2t' to each side of the equation. -60 + 20t + -2t = 5 + 2t + -2t Combine like terms: 20t + -2t = 18t -60 + 18t = 5 + 2t + -2t Combine like terms: 2t + -2t = 0 -60 + 18t = 5 + 0 -60 + 18t = 5 Add '60' to each side of the equation. -60 + 60 + 18t = 5 + 60 Combine like terms: -60 + 60 = 0 0 + 18t = 5 + 60 18t = 5 + 60 Combine like terms: 5 + 60 = 65 18t = 65 Divide each side by '18'. t = 3.611111111 Simplifying t = 3.611111111
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