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Simplifying 8[t + 2] = 2 + -3t + 1 Reorder the terms: 8[2 + t] = 2 + -3t + 1 [2 * 8 + t * 8] = 2 + -3t + 1 [16 + 8t] = 2 + -3t + 1 Reorder the terms: 16 + 8t = 2 + 1 + -3t Combine like terms: 2 + 1 = 3 16 + 8t = 3 + -3t Solving 16 + 8t = 3 + -3t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '3t' to each side of the equation. 16 + 8t + 3t = 3 + -3t + 3t Combine like terms: 8t + 3t = 11t 16 + 11t = 3 + -3t + 3t Combine like terms: -3t + 3t = 0 16 + 11t = 3 + 0 16 + 11t = 3 Add '-16' to each side of the equation. 16 + -16 + 11t = 3 + -16 Combine like terms: 16 + -16 = 0 0 + 11t = 3 + -16 11t = 3 + -16 Combine like terms: 3 + -16 = -13 11t = -13 Divide each side by '11'. t = -1.181818182 Simplifying t = -1.181818182
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