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Simplifying 20 + 5(3t + 16) = -20 + -20 + -5t Reorder the terms: 20 + 5(16 + 3t) = -20 + -20 + -5t 20 + (16 * 5 + 3t * 5) = -20 + -20 + -5t 20 + (80 + 15t) = -20 + -20 + -5t Combine like terms: 20 + 80 = 100 100 + 15t = -20 + -20 + -5t Combine like terms: -20 + -20 = -40 100 + 15t = -40 + -5t Solving 100 + 15t = -40 + -5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '5t' to each side of the equation. 100 + 15t + 5t = -40 + -5t + 5t Combine like terms: 15t + 5t = 20t 100 + 20t = -40 + -5t + 5t Combine like terms: -5t + 5t = 0 100 + 20t = -40 + 0 100 + 20t = -40 Add '-100' to each side of the equation. 100 + -100 + 20t = -40 + -100 Combine like terms: 100 + -100 = 0 0 + 20t = -40 + -100 20t = -40 + -100 Combine like terms: -40 + -100 = -140 20t = -140 Divide each side by '20'. t = -7 Simplifying t = -7
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