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Simplifying 5(2 + -4t) = 2t + -8 (2 * 5 + -4t * 5) = 2t + -8 (10 + -20t) = 2t + -8 Reorder the terms: 10 + -20t = -8 + 2t Solving 10 + -20t = -8 + 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. 10 + -20t + -2t = -8 + 2t + -2t Combine like terms: -20t + -2t = -22t 10 + -22t = -8 + 2t + -2t Combine like terms: 2t + -2t = 0 10 + -22t = -8 + 0 10 + -22t = -8 Add '-10' to each side of the equation. 10 + -10 + -22t = -8 + -10 Combine like terms: 10 + -10 = 0 0 + -22t = -8 + -10 -22t = -8 + -10 Combine like terms: -8 + -10 = -18 -22t = -18 Divide each side by '-22'. t = 0.8181818182 Simplifying t = 0.8181818182
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